This week’s videos take a lot of time to go through & writing notes on.

Week 2

Preprossing data with caret

library(caret)
## Loading required package: lattice
## Loading required package: ggplot2
library(kernlab)
## 
## Attaching package: 'kernlab'
## The following object is masked from 'package:ggplot2':
## 
##     alpha
data(spam)
inTrain<-createDataPartition(y=spam$type,p=0.75,list=FALSE)
training<-spam[inTrain,]
testing<-spam[-inTrain,]
hist(training$capitalAve,main="",xlab="avg. capital run length")

The histogram shows that the data are heavily skewed to the left.

Standardizing the variables (so that they have mean = 0 and sd=1)

trainCapAve<-training$capitalAve
trainCapAveS<-(trainCapAve-mean(trainCapAve))/sd(trainCapAve)
mean(trainCapAveS)
## [1] -4.619523e-18
sd(trainCapAveS)
## [1] 1

Standardizing the test set, using mean and sd of the training set. This means that the standardized test cap will not be exactly the same as that of the training set, but they should be similar.

testCapAve<-testing$capitalAve
testCapAveS<-(testCapAve-mean(trainCapAve))/sd(trainCapAve)
mean(testCapAveS)
## [1] -0.04699338

Use preprocess() function to do the standardization on the training set. The result is the same as using the above functions

preObj<-preProcess(training[,-58],method=c("center","scale"))
trainCapAveS<-predict(preObj,training[,-58])$capitalAve
mean(trainCapAveS)
## [1] -4.619523e-18
sd(trainCapAveS)
## [1] 1

Use preProcess() to do the same on the testing dataset. Note that preObj (which was created based on the training set) is also used to predict on the testing set.

Note that mean() is not equal to 0 on the testing set, and sd is not equal to 1.

testCapAveS<-predict(preObj,testing[,-58])$capitalAve
mean(testCapAveS)
## [1] -0.04699338
sd(testCapAveS)
## [1] 0.2730552

Use preProcess() directly when building a model

set.seed(1)
model<-train(type ~.,data=training,preProcess=c("center","scale"),method="glm")
## Warning: glm.fit: algorithm did not converge
## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred

## Warning: glm.fit: fitted probabilities numerically 0 or 1 occurred
model
## Generalized Linear Model 
## 
## 3451 samples
##   57 predictor
##    2 classes: 'nonspam', 'spam' 
## 
## Pre-processing: centered (57), scaled (57) 
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 3451, 3451, 3451, 3451, 3451, 3451, ... 
## Resampling results:
## 
##   Accuracy   Kappa    
##   0.9223618  0.8364145

Standardising - Box-Cox Transforms

This transforms the data into normal shape - i.e. bell shape

preObj<-preProcess(training[,-58],method=c("BoxCox"))
trainCapAveS<-predict(preObj,training[,-58])$capitalAve
par(mfrow=c(1,2))
hist(trainCapAveS)
qqnorm(trainCapAveS)

Standardization: Imputing data where it is NA using knnImpute

knnImpute uses the average of the k-nearest neighbours to impute the data where it’s not available.

set.seed(1)

# Make some value NAs
training$capAve<-training$capitalAve
selectNA<-rbinom(dim(training)[1],size=1,prob=0.05)==1
training$capAve[selectNA]<-NA

# Impute data when it's NA, and standardize
preObj<-preProcess(training[,-58],method="knnImpute")
capAve<-predict(preObj,training[,-58])$capAve

# Standardize true values
capAveTruth<-training$capitalAve
capAveTruth<-(capAveTruth-mean(capAveTruth))/sd(capAveTruth)

Look at the difference at the imputed value (capAve) and the true value (capAveTruth), using quantile() function.

If the values are all relatively small, then it shows that imputing data works (i.e. doesn’t change the dataset too much).

quantile(capAve-capAveTruth)
##            0%           25%           50%           75%          100% 
## -9.2162427480 -0.0088983065 -0.0061971070 -0.0005415886  3.8442966726

Some notes on preprocessing data

  • training and testing must be processed in the same way (i.e. use the same preObj in predict() function)

Covariate/Predictor/Feature Creation

  1. Step 1: raw data -> features (e.g. free text -> data frame) Google “Feature extraction for [data type]” Examples:
  • Text files: frequency of words, frequency of phrases, frequency of capital letters
  • Images: Edges, corners, ridges
  • Webpages: # and type of images, position of elements, colors, videos (e.g. A/B testing)
  • People: Height, weight, hair color, gender etc.
  1. Step 2: features -> new, useful features
  • more useful for some models (e.g. regression, SVM) than others( e.g. decision trees)
  • should be done only on the training set
  • new features should be added to data frames

  1. An example of feature creation

    ```r
library(ISLR)
library(caret)
data(Wage)
inTrain<-createDataPartition(y=Wage$wage,p=0.7,list=FALSE)
training<-Wage[inTrain,]
testing<-Wage[-inTrain,]
```

  • Convert factor variables to dummy variables

    The jobclass column is chacracters, so we can convert it to dummy variable with dummyVars function

    dummies<-dummyVars(wage ~ jobclass,data=training)
head(predict(dummies,newdata=training))
    ##        jobclass.1. Industrial jobclass.2. Information
## 231655                      1                       0
## 86582                       0                       1
## 161300                      1                       0
## 155159                      0                       1
## 11443                       0                       1
## 376662                      0                       1

  • Remove features which is the same throughout the dataframe, using nearZeroVar

    If nsv (nearZeroVar) returns TRUE, then this feature is not important and thus can be removed.

    nsv<-nearZeroVar(training,saveMetrics = TRUE)
nsv
    ##            freqRatio percentUnique zeroVar   nzv
## year        1.085294    0.33301618   FALSE FALSE
## age         1.189189    2.85442436   FALSE FALSE
## maritl      3.303371    0.23786870   FALSE FALSE
## race        8.282297    0.19029496   FALSE FALSE
## education   1.378601    0.23786870   FALSE FALSE
## region      0.000000    0.04757374    TRUE  TRUE
## jobclass    1.062807    0.09514748   FALSE FALSE
## health      2.485904    0.09514748   FALSE FALSE
## health_ins  2.243827    0.09514748   FALSE FALSE
## logwage     1.000000   19.17221694   FALSE FALSE
## wage        1.000000   19.17221694   FALSE FALSE
    • Spline basis df=3 says that we want a 3rd-degree polynomial on this variable training$age. First column means age Second column means age^2 Third column means age^3
    library(splines)
bsBasis<-bs(training$age,df=3)
bsBasis
    ##                  1            2            3
##    [1,] 0.00000000 0.0000000000 0.000000e+00
##    [2,] 0.23685006 0.0253767916 9.063140e-04
##    [3,] 0.41633799 0.3211750193 8.258786e-02
##    [4,] 0.43081384 0.2910904300 6.556091e-02
##    [5,] 0.36252559 0.3866939680 1.374912e-01
##    [6,] 0.30633413 0.4241549461 1.957638e-01
##    [7,] 0.41633799 0.3211750193 8.258786e-02
##    [8,] 0.42616898 0.1482326877 1.718640e-02
##    [9,] 0.43333138 0.1637029640 2.061445e-02
##   [10,] 0.44435820 0.2275981001 3.885821e-02
##   [11,] 0.30633413 0.4241549461 1.957638e-01
##   [12,] 0.34934628 0.3975319727 1.507880e-01
##   [13,] 0.44221829 0.1953987782 2.877966e-02
##   [14,] 0.36252559 0.3866939680 1.374912e-01
##   [15,] 0.44221829 0.1953987782 2.877966e-02
##   [16,] 0.44409385 0.2114732637 3.356718e-02
##   [17,] 0.44308684 0.2436977611 4.467792e-02
##   [18,] 0.01793746 0.2044870934 7.770510e-01
##   [19,] 0.44308684 0.2436977611 4.467792e-02
##   [20,] 0.42616898 0.1482326877 1.718640e-02
##   [21,] 0.00000000 0.0000000000 0.000000e+00
##   [22,] 0.41709325 0.1331148669 1.416116e-02
##   [23,] 0.42616898 0.1482326877 1.718640e-02
##   [24,] 0.43865597 0.1794501695 2.447048e-02
##   [25,] 0.27551945 0.4362391326 2.302373e-01
##   [26,] 0.06545601 0.3403712531 5.899768e-01
##   [27,] 0.40602867 0.1184250277 1.151354e-02
##   [28,] 0.31822950 0.0540389715 3.058810e-03
##   [29,] 0.34037125 0.0654560102 4.195898e-03
##   [30,] 0.31822950 0.0540389715 3.058810e-03
##   [31,] 0.36252559 0.3866939680 1.374912e-01
##   [32,] 0.44435820 0.2275981001 3.885821e-02
##   [33,] 0.33553758 0.4074384881 1.649156e-01
##   [34,] 0.43333138 0.1637029640 2.061445e-02
##   [35,] 0.25969672 0.4403553087 2.488965e-01
##   [36,] 0.26654443 0.0339238361 1.439193e-03
##   [37,] 0.41709325 0.1331148669 1.416116e-02
##   [38,] 0.25969672 0.4403553087 2.488965e-01
##   [39,] 0.20448709 0.0179374643 5.244873e-04
##   [40,] 0.22759810 0.4443581954 2.891855e-01
##   [41,] 0.42616898 0.1482326877 1.718640e-02
##   [42,] 0.44035531 0.2596967205 5.105149e-02
##   [43,] 0.38669397 0.3625255950 1.132892e-01
##   [44,] 0.37500000 0.3750000000 1.250000e-01
##   [45,] 0.43623913 0.2755194522 5.800410e-02
##   [46,] 0.44221829 0.1953987782 2.877966e-02
##   [47,] 0.29109043 0.4308138364 2.125348e-01
##   [48,] 0.13145329 0.0066840657 1.132892e-04
##   [49,] 0.24369776 0.4430868383 2.685375e-01
##   [50,] 0.39289970 0.1042386963 9.218388e-03
##   [51,] 0.40602867 0.1184250277 1.151354e-02
##   [52,] 0.44308684 0.2436977611 4.467792e-02
##   [53,] 0.42415495 0.3063341278 7.374710e-02
##   [54,] 0.20448709 0.0179374643 5.244873e-04
##   [55,] 0.16370296 0.4333313752 3.823512e-01
##   [56,] 0.42415495 0.3063341278 7.374710e-02
##   [57,] 0.39753197 0.3493462791 1.023338e-01
##   [58,] 0.19539878 0.4422182874 3.336033e-01
##   [59,] 0.29109043 0.4308138364 2.125348e-01
##   [60,] 0.26654443 0.0339238361 1.439193e-03
##   [61,] 0.42616898 0.1482326877 1.718640e-02
##   [62,] 0.32117502 0.4163379880 1.798991e-01
##   [63,] 0.32117502 0.4163379880 1.798991e-01
##   [64,] 0.06545601 0.3403712531 5.899768e-01
##   [65,] 0.39753197 0.3493462791 1.023338e-01
##   [66,] 0.41709325 0.1331148669 1.416116e-02
##   [67,] 0.02537679 0.2368500554 7.368668e-01
##   [68,] 0.44308684 0.2436977611 4.467792e-02
##   [69,] 0.41709325 0.1331148669 1.416116e-02
##   [70,] 0.44221829 0.1953987782 2.877966e-02
##   [71,] 0.42616898 0.1482326877 1.718640e-02
##   [72,] 0.36252559 0.3866939680 1.374912e-01
##   [73,] 0.40743849 0.3355375785 9.210835e-02
##   [74,] 0.44035531 0.2596967205 5.105149e-02
##   [75,] 0.16370296 0.4333313752 3.823512e-01
##   [76,] 0.43333138 0.1637029640 2.061445e-02
##   [77,] 0.36014652 0.0776786613 5.584740e-03
##   [78,] 0.44221829 0.1953987782 2.877966e-02
##   [79,] 0.43623913 0.2755194522 5.800410e-02
##   [80,] 0.37500000 0.3750000000 1.250000e-01
##   [81,] 0.43623913 0.2755194522 5.800410e-02
##   [82,] 0.43081384 0.2910904300 6.556091e-02
##   [83,] 0.44409385 0.2114732637 3.356718e-02
##   [84,] 0.22759810 0.4443581954 2.891855e-01
##   [85,] 0.25969672 0.4403553087 2.488965e-01
##   [86,] 0.19539878 0.4422182874 3.336033e-01
##   [87,] 0.37500000 0.3750000000 1.250000e-01
##   [88,] 0.33553758 0.4074384881 1.649156e-01
##   [89,] 0.43081384 0.2910904300 6.556091e-02
##   [90,] 0.13145329 0.0066840657 1.132892e-04
##   [91,] 0.19539878 0.4422182874 3.336033e-01
##   [92,] 0.40602867 0.1184250277 1.151354e-02
##   [93,] 0.43333138 0.1637029640 2.061445e-02
##   [94,] 0.29364573 0.0435030714 2.148300e-03
##   [95,] 0.40602867 0.1184250277 1.151354e-02
##   [96,] 0.44221829 0.1953987782 2.877966e-02
##   [97,] 0.16938001 0.0116813803 2.685375e-04
##   [98,] 0.34934628 0.3975319727 1.507880e-01
##   [99,] 0.42415495 0.3063341278 7.374710e-02
##  [100,] 0.43333138 0.1637029640 2.061445e-02
##  [101,] 0.44308684 0.2436977611 4.467792e-02
##  [102,] 0.43333138 0.1637029640 2.061445e-02
##  [103,] 0.43333138 0.1637029640 2.061445e-02
##  [104,] 0.43081384 0.2910904300 6.556091e-02
##  [105,] 0.21147326 0.4440938538 3.108657e-01
##  [106,] 0.44409385 0.2114732637 3.356718e-02
##  [107,] 0.32117502 0.4163379880 1.798991e-01
##  [108,] 0.25969672 0.4403553087 2.488965e-01
##  [109,] 0.14823269 0.4261689772 4.084119e-01
##  [110,] 0.43081384 0.2910904300 6.556091e-02
##  [111,] 0.43333138 0.1637029640 2.061445e-02
##  [112,] 0.30633413 0.4241549461 1.957638e-01
##  [113,] 0.24369776 0.4430868383 2.685375e-01
##  [114,] 0.40743849 0.3355375785 9.210835e-02
##  [115,] 0.29109043 0.4308138364 2.125348e-01
##  [116,] 0.34934628 0.3975319727 1.507880e-01
##  [117,] 0.42616898 0.1482326877 1.718640e-02
##  [118,] 0.44308684 0.2436977611 4.467792e-02
##  [119,] 0.36252559 0.3866939680 1.374912e-01
##  [120,] 0.33553758 0.4074384881 1.649156e-01
##  [121,] 0.36252559 0.3866939680 1.374912e-01
##  [122,] 0.31822950 0.0540389715 3.058810e-03
##  [123,] 0.44435820 0.2275981001 3.885821e-02
##  [124,] 0.44435820 0.2275981001 3.885821e-02
##  [125,] 0.39289970 0.1042386963 9.218388e-03
##  [126,] 0.37763083 0.0906313987 7.250512e-03
##  [127,] 0.31822950 0.0540389715 3.058810e-03
##  [128,] 0.44308684 0.2436977611 4.467792e-02
##  [129,] 0.29109043 0.4308138364 2.125348e-01
##  [130,] 0.38669397 0.3625255950 1.132892e-01
##  [131,] 0.36014652 0.0776786613 5.584740e-03
##  [132,] 0.44308684 0.2436977611 4.467792e-02
##  [133,] 0.42415495 0.3063341278 7.374710e-02
##  [134,] 0.37500000 0.3750000000 1.250000e-01
##  [135,] 0.41633799 0.3211750193 8.258786e-02
##  [136,] 0.36014652 0.0776786613 5.584740e-03
##  [137,] 0.44221829 0.1953987782 2.877966e-02
##  [138,] 0.40743849 0.3355375785 9.210835e-02
##  [139,] 0.44435820 0.2275981001 3.885821e-02
##  [140,] 0.36014652 0.0776786613 5.584740e-03
##  [141,] 0.44221829 0.1953987782 2.877966e-02
##  [142,] 0.17945017 0.4386559699 3.574234e-01
##  [143,] 0.44221829 0.1953987782 2.877966e-02
##  [144,] 0.43865597 0.1794501695 2.447048e-02
##  [145,] 0.20448709 0.0179374643 5.244873e-04
##  [146,] 0.40743849 0.3355375785 9.210835e-02
##  [147,] 0.29364573 0.0435030714 2.148300e-03
##  [148,] 0.30633413 0.4241549461 1.957638e-01
##  [149,] 0.17945017 0.4386559699 3.574234e-01
##  [150,] 0.32117502 0.4163379880 1.798991e-01
##  [151,] 0.38669397 0.3625255950 1.132892e-01
##  [152,] 0.20448709 0.0179374643 5.244873e-04
##  [153,] 0.29109043 0.4308138364 2.125348e-01
##  [154,] 0.22759810 0.4443581954 2.891855e-01
##  [155,] 0.37500000 0.3750000000 1.250000e-01
##  [156,] 0.41633799 0.3211750193 8.258786e-02
##  [157,] 0.39289970 0.1042386963 9.218388e-03
##  [158,] 0.42616898 0.1482326877 1.718640e-02
##  [159,] 0.29364573 0.0435030714 2.148300e-03
##  [160,] 0.16938001 0.0116813803 2.685375e-04
##  [161,] 0.44308684 0.2436977611 4.467792e-02
##  [162,] 0.44035531 0.2596967205 5.105149e-02
##  [163,] 0.43865597 0.1794501695 2.447048e-02
##  [164,] 0.38669397 0.3625255950 1.132892e-01
##  [165,] 0.39753197 0.3493462791 1.023338e-01
##  [166,] 0.39753197 0.3493462791 1.023338e-01
##  [167,] 0.43333138 0.1637029640 2.061445e-02
##  [168,] 0.37500000 0.3750000000 1.250000e-01
##  [169,] 0.44308684 0.2436977611 4.467792e-02
##  [170,] 0.25969672 0.4403553087 2.488965e-01
##  [171,] 0.27551945 0.4362391326 2.302373e-01
##  [172,] 0.03392384 0.2665444262 6.980925e-01
##  [173,] 0.37500000 0.3750000000 1.250000e-01
##  [174,] 0.37763083 0.0906313987 7.250512e-03
##  [175,] 0.43865597 0.1794501695 2.447048e-02
##  [176,] 0.44435820 0.2275981001 3.885821e-02
##  [177,] 0.38669397 0.3625255950 1.132892e-01
##  [178,] 0.41633799 0.3211750193 8.258786e-02
##  [179,] 0.36252559 0.3866939680 1.374912e-01
##  [180,] 0.43623913 0.2755194522 5.800410e-02
##  [181,] 0.38669397 0.3625255950 1.132892e-01
##  [182,] 0.41633799 0.3211750193 8.258786e-02
##  [183,] 0.31822950 0.0540389715 3.058810e-03
##  [184,] 0.40602867 0.1184250277 1.151354e-02
##  [185,] 0.40743849 0.3355375785 9.210835e-02
##  [186,] 0.33553758 0.4074384881 1.649156e-01
##  [187,] 0.16938001 0.0116813803 2.685375e-04
##  [188,] 0.32117502 0.4163379880 1.798991e-01
##  [189,] 0.44409385 0.2114732637 3.356718e-02
##  [190,] 0.43623913 0.2755194522 5.800410e-02
##  [191,] 0.26654443 0.0339238361 1.439193e-03
##  [192,] 0.36014652 0.0776786613 5.584740e-03
##  [193,] 0.34037125 0.0654560102 4.195898e-03
##  [194,] 0.40743849 0.3355375785 9.210835e-02
##  [195,] 0.29109043 0.4308138364 2.125348e-01
##  [196,] 0.27551945 0.4362391326 2.302373e-01
##  [197,] 0.44035531 0.2596967205 5.105149e-02
##  [198,] 0.39753197 0.3493462791 1.023338e-01
##  [199,] 0.33553758 0.4074384881 1.649156e-01
##  [200,] 0.41709325 0.1331148669 1.416116e-02
##  [201,] 0.24369776 0.4430868383 2.685375e-01
##  [202,] 0.33553758 0.4074384881 1.649156e-01
##  [203,] 0.41633799 0.3211750193 8.258786e-02
##  [204,] 0.16938001 0.0116813803 2.685375e-04
##  [205,] 0.26654443 0.0339238361 1.439193e-03
##  [206,] 0.44035531 0.2596967205 5.105149e-02
##  [207,] 0.30633413 0.4241549461 1.957638e-01
##  [208,] 0.20448709 0.0179374643 5.244873e-04
##  [209,] 0.43865597 0.1794501695 2.447048e-02
##  [210,] 0.39289970 0.1042386963 9.218388e-03
##  [211,] 0.33553758 0.4074384881 1.649156e-01
##  [212,] 0.40743849 0.3355375785 9.210835e-02
##  [213,] 0.41633799 0.3211750193 8.258786e-02
##  [214,] 0.44035531 0.2596967205 5.105149e-02
##  [215,] 0.26654443 0.0339238361 1.439193e-03
##  [216,] 0.23685006 0.0253767916 9.063140e-04
##  [217,] 0.34934628 0.3975319727 1.507880e-01
##  [218,] 0.44035531 0.2596967205 5.105149e-02
##  [219,] 0.43623913 0.2755194522 5.800410e-02
##  [220,] 0.37763083 0.0906313987 7.250512e-03
##  [221,] 0.29109043 0.4308138364 2.125348e-01
##  [222,] 0.20448709 0.0179374643 5.244873e-04
##  [223,] 0.21147326 0.4440938538 3.108657e-01
##  [224,] 0.00000000 0.0000000000 1.000000e+00
##  [225,] 0.44308684 0.2436977611 4.467792e-02
##  [226,] 0.43333138 0.1637029640 2.061445e-02
##  [227,] 0.29109043 0.4308138364 2.125348e-01
##  [228,] 0.23685006 0.0253767916 9.063140e-04
##  [229,] 0.44435820 0.2275981001 3.885821e-02
##  [230,] 0.37763083 0.0906313987 7.250512e-03
##  [231,] 0.09063140 0.3776308281 5.244873e-01
##  [232,] 0.30633413 0.4241549461 1.957638e-01
##  [233,] 0.31822950 0.0540389715 3.058810e-03
##  [234,] 0.42616898 0.1482326877 1.718640e-02
##  [235,] 0.22759810 0.4443581954 2.891855e-01
##  [236,] 0.37763083 0.0906313987 7.250512e-03
##  [237,] 0.44435820 0.2275981001 3.885821e-02
##  [238,] 0.43081384 0.2910904300 6.556091e-02
##  [239,] 0.37763083 0.0906313987 7.250512e-03
##  [240,] 0.25969672 0.4403553087 2.488965e-01
##  [241,] 0.32117502 0.4163379880 1.798991e-01
##  [242,] 0.43623913 0.2755194522 5.800410e-02
##  [243,] 0.20448709 0.0179374643 5.244873e-04
##  [244,] 0.43081384 0.2910904300 6.556091e-02
##  [245,] 0.27551945 0.4362391326 2.302373e-01
##  [246,] 0.44221829 0.1953987782 2.877966e-02
##  [247,] 0.44035531 0.2596967205 5.105149e-02
##  [248,] 0.41709325 0.1331148669 1.416116e-02
##  [249,] 0.32117502 0.4163379880 1.798991e-01
##  [250,] 0.44221829 0.1953987782 2.877966e-02
##  [251,] 0.09063140 0.0030210466 3.356718e-05
##  [252,] 0.29364573 0.0435030714 2.148300e-03
##  [253,] 0.25969672 0.4403553087 2.488965e-01
##  [254,] 0.39753197 0.3493462791 1.023338e-01
##  [255,] 0.44409385 0.2114732637 3.356718e-02
##  [256,] 0.41709325 0.1331148669 1.416116e-02
##  [257,] 0.38669397 0.3625255950 1.132892e-01
##  [258,] 0.41709325 0.1331148669 1.416116e-02
##  [259,] 0.33553758 0.4074384881 1.649156e-01
##  [260,] 0.37763083 0.0906313987 7.250512e-03
##  [261,] 0.42415495 0.3063341278 7.374710e-02
##  [262,] 0.44409385 0.2114732637 3.356718e-02
##  [263,] 0.34934628 0.3975319727 1.507880e-01
##  [264,] 0.39753197 0.3493462791 1.023338e-01
##  [265,] 0.34037125 0.0654560102 4.195898e-03
##  [266,] 0.31822950 0.0540389715 3.058810e-03
##  [267,] 0.41709325 0.1331148669 1.416116e-02
##  [268,] 0.31822950 0.0540389715 3.058810e-03
##  [269,] 0.44409385 0.2114732637 3.356718e-02
##  [270,] 0.44308684 0.2436977611 4.467792e-02
##  [271,] 0.40743849 0.3355375785 9.210835e-02
##  [272,] 0.32117502 0.4163379880 1.798991e-01
##  [273,] 0.43623913 0.2755194522 5.800410e-02
##  [274,] 0.44308684 0.2436977611 4.467792e-02
##  [275,] 0.43333138 0.1637029640 2.061445e-02
##  [276,] 0.36252559 0.3866939680 1.374912e-01
##  [277,] 0.42616898 0.1482326877 1.718640e-02
##  [278,] 0.38669397 0.3625255950 1.132892e-01
##  [279,] 0.44035531 0.2596967205 5.105149e-02
##  [280,] 0.24369776 0.4430868383 2.685375e-01
##  [281,] 0.34037125 0.0654560102 4.195898e-03
##  [282,] 0.41709325 0.1331148669 1.416116e-02
##  [283,] 0.36252559 0.3866939680 1.374912e-01
##  [284,] 0.38669397 0.3625255950 1.132892e-01
##  [285,] 0.37500000 0.3750000000 1.250000e-01
##  [286,] 0.42415495 0.3063341278 7.374710e-02
##  [287,] 0.36252559 0.3866939680 1.374912e-01
##  [288,] 0.24369776 0.4430868383 2.685375e-01
##  [289,] 0.41633799 0.3211750193 8.258786e-02
##  [290,] 0.42415495 0.3063341278 7.374710e-02
##  [291,] 0.43333138 0.1637029640 2.061445e-02
##  [292,] 0.41633799 0.3211750193 8.258786e-02
##  [293,] 0.34934628 0.3975319727 1.507880e-01
##  [294,] 0.19539878 0.4422182874 3.336033e-01
##  [295,] 0.41633799 0.3211750193 8.258786e-02
##  [296,] 0.42616898 0.1482326877 1.718640e-02
##  [297,] 0.41709325 0.1331148669 1.416116e-02
##  [298,] 0.41633799 0.3211750193 8.258786e-02
##  [299,] 0.36252559 0.3866939680 1.374912e-01
##  [300,] 0.44435820 0.2275981001 3.885821e-02
##  [301,] 0.37500000 0.3750000000 1.250000e-01
##  [302,] 0.39289970 0.1042386963 9.218388e-03
##  [303,] 0.37500000 0.3750000000 1.250000e-01
##  [304,] 0.34934628 0.3975319727 1.507880e-01
##  [305,] 0.43623913 0.2755194522 5.800410e-02
##  [306,] 0.37763083 0.0906313987 7.250512e-03
##  [307,] 0.41709325 0.1331148669 1.416116e-02
##  [308,] 0.36252559 0.3866939680 1.374912e-01
##  [309,] 0.38669397 0.3625255950 1.132892e-01
##  [310,] 0.39753197 0.3493462791 1.023338e-01
##  [311,] 0.41633799 0.3211750193 8.258786e-02
##  [312,] 0.37500000 0.3750000000 1.250000e-01
##  [313,] 0.40743849 0.3355375785 9.210835e-02
##  [314,] 0.44221829 0.1953987782 2.877966e-02
##  [315,] 0.20448709 0.0179374643 5.244873e-04
##  [316,] 0.42616898 0.1482326877 1.718640e-02
##  [317,] 0.42415495 0.3063341278 7.374710e-02
##  [318,] 0.19539878 0.4422182874 3.336033e-01
##  [319,] 0.44308684 0.2436977611 4.467792e-02
##  [320,] 0.44221829 0.1953987782 2.877966e-02
##  [321,] 0.41709325 0.1331148669 1.416116e-02
##  [322,] 0.44035531 0.2596967205 5.105149e-02
##  [323,] 0.37763083 0.0906313987 7.250512e-03
##  [324,] 0.34934628 0.3975319727 1.507880e-01
##  [325,] 0.44435820 0.2275981001 3.885821e-02
##  [326,] 0.27551945 0.4362391326 2.302373e-01
##  [327,] 0.42415495 0.3063341278 7.374710e-02
##  [328,] 0.34934628 0.3975319727 1.507880e-01
##  [329,] 0.43333138 0.1637029640 2.061445e-02
##  [330,] 0.39753197 0.3493462791 1.023338e-01
##  [331,] 0.34934628 0.3975319727 1.507880e-01
##  [332,] 0.16370296 0.4333313752 3.823512e-01
##  [333,] 0.19539878 0.4422182874 3.336033e-01
##  [334,] 0.41709325 0.1331148669 1.416116e-02
##  [335,] 0.43333138 0.1637029640 2.061445e-02
##  [336,] 0.36252559 0.3866939680 1.374912e-01
##  [337,] 0.44035531 0.2596967205 5.105149e-02
##  [338,] 0.20448709 0.0179374643 5.244873e-04
##  [339,] 0.41633799 0.3211750193 8.258786e-02
##  [340,] 0.22759810 0.4443581954 2.891855e-01
##  [341,] 0.41633799 0.3211750193 8.258786e-02
##  [342,] 0.43623913 0.2755194522 5.800410e-02
##  [343,] 0.25969672 0.4403553087 2.488965e-01
##  [344,] 0.33553758 0.4074384881 1.649156e-01
##  [345,] 0.30633413 0.4241549461 1.957638e-01
##  [346,] 0.37763083 0.0906313987 7.250512e-03
##  [347,] 0.39753197 0.3493462791 1.023338e-01
##  [348,] 0.44409385 0.2114732637 3.356718e-02
##  [349,] 0.39753197 0.3493462791 1.023338e-01
##  [350,] 0.44435820 0.2275981001 3.885821e-02
##  [351,] 0.39753197 0.3493462791 1.023338e-01
##  [352,] 0.41633799 0.3211750193 8.258786e-02
##  [353,] 0.43623913 0.2755194522 5.800410e-02
##  [354,] 0.00000000 0.0000000000 0.000000e+00
##  [355,] 0.27551945 0.4362391326 2.302373e-01
##  [356,] 0.36252559 0.3866939680 1.374912e-01
##  [357,] 0.36252559 0.3866939680 1.374912e-01
##  [358,] 0.32117502 0.4163379880 1.798991e-01
##  [359,] 0.27551945 0.4362391326 2.302373e-01
##  [360,] 0.27551945 0.4362391326 2.302373e-01
##  [361,] 0.36252559 0.3866939680 1.374912e-01
##  [362,] 0.32117502 0.4163379880 1.798991e-01
##  [363,] 0.34037125 0.0654560102 4.195898e-03
##  [364,] 0.41633799 0.3211750193 8.258786e-02
##  [365,] 0.23685006 0.0253767916 9.063140e-04
##  [366,] 0.44409385 0.2114732637 3.356718e-02
##  [367,] 0.39753197 0.3493462791 1.023338e-01
##  [368,] 0.44409385 0.2114732637 3.356718e-02
##  [369,] 0.44435820 0.2275981001 3.885821e-02
##  [370,] 0.33553758 0.4074384881 1.649156e-01
##  [371,] 0.40743849 0.3355375785 9.210835e-02
##  [372,] 0.43623913 0.2755194522 5.800410e-02
##  [373,] 0.19539878 0.4422182874 3.336033e-01
##  [374,] 0.43623913 0.2755194522 5.800410e-02
##  [375,] 0.19539878 0.4422182874 3.336033e-01
##  [376,] 0.31822950 0.0540389715 3.058810e-03
##  [377,] 0.41633799 0.3211750193 8.258786e-02
##  [378,] 0.24369776 0.4430868383 2.685375e-01
##  [379,] 0.26654443 0.0339238361 1.439193e-03
##  [380,] 0.34934628 0.3975319727 1.507880e-01
##  [381,] 0.36252559 0.3866939680 1.374912e-01
##  [382,] 0.14823269 0.4261689772 4.084119e-01
##  [383,] 0.30633413 0.4241549461 1.957638e-01
##  [384,] 0.43623913 0.2755194522 5.800410e-02
##  [385,] 0.39289970 0.1042386963 9.218388e-03
##  [386,] 0.26654443 0.0339238361 1.439193e-03
##  [387,] 0.40602867 0.1184250277 1.151354e-02
##  [388,] 0.34037125 0.0654560102 4.195898e-03
##  [389,] 0.40602867 0.1184250277 1.151354e-02
##  [390,] 0.32117502 0.4163379880 1.798991e-01
##  [391,] 0.43865597 0.1794501695 2.447048e-02
##  [392,] 0.43081384 0.2910904300 6.556091e-02
##  [393,] 0.34934628 0.3975319727 1.507880e-01
##  [394,] 0.43333138 0.1637029640 2.061445e-02
##  [395,] 0.43081384 0.2910904300 6.556091e-02
##  [396,] 0.44435820 0.2275981001 3.885821e-02
##  [397,] 0.22759810 0.4443581954 2.891855e-01
##  [398,] 0.41709325 0.1331148669 1.416116e-02
##  [399,] 0.20448709 0.0179374643 5.244873e-04
##  [400,] 0.44221829 0.1953987782 2.877966e-02
##  [401,] 0.44308684 0.2436977611 4.467792e-02
##  [402,] 0.26654443 0.0339238361 1.439193e-03
##  [403,] 0.33553758 0.4074384881 1.649156e-01
##  [404,] 0.20448709 0.0179374643 5.244873e-04
##  [405,] 0.41709325 0.1331148669 1.416116e-02
##  [406,] 0.44221829 0.1953987782 2.877966e-02
##  [407,] 0.42616898 0.1482326877 1.718640e-02
##  [408,] 0.34934628 0.3975319727 1.507880e-01
##  [409,] 0.44308684 0.2436977611 4.467792e-02
##  [410,] 0.36252559 0.3866939680 1.374912e-01
##  [411,] 0.30633413 0.4241549461 1.957638e-01
##  [412,] 0.36252559 0.3866939680 1.374912e-01
##  [413,] 0.40602867 0.1184250277 1.151354e-02
##  [414,] 0.44221829 0.1953987782 2.877966e-02
##  [415,] 0.04683881 0.0007678494 4.195898e-06
##  [416,] 0.40602867 0.1184250277 1.151354e-02
##  [417,] 0.43623913 0.2755194522 5.800410e-02
##  [418,] 0.29364573 0.0435030714 2.148300e-03
##  [419,] 0.40743849 0.3355375785 9.210835e-02
##  [420,] 0.00000000 0.0000000000 0.000000e+00
##  [421,] 0.43081384 0.2910904300 6.556091e-02
##  [422,] 0.17945017 0.4386559699 3.574234e-01
##  [423,] 0.42415495 0.3063341278 7.374710e-02
##  [424,] 0.44308684 0.2436977611 4.467792e-02
##  [425,] 0.43081384 0.2910904300 6.556091e-02
##  [426,] 0.38669397 0.3625255950 1.132892e-01
##  [427,] 0.43333138 0.1637029640 2.061445e-02
##  [428,] 0.19539878 0.4422182874 3.336033e-01
##  [429,] 0.34037125 0.0654560102 4.195898e-03
##  [430,] 0.16938001 0.0116813803 2.685375e-04
##  [431,] 0.43623913 0.2755194522 5.800410e-02
##  [432,] 0.36014652 0.0776786613 5.584740e-03
##  [433,] 0.39289970 0.1042386963 9.218388e-03
##  [434,] 0.22759810 0.4443581954 2.891855e-01
##  [435,] 0.40602867 0.1184250277 1.151354e-02
##  [436,] 0.40602867 0.1184250277 1.151354e-02
##  [437,] 0.26654443 0.0339238361 1.439193e-03
##  [438,] 0.25969672 0.4403553087 2.488965e-01
##  [439,] 0.37500000 0.3750000000 1.250000e-01
##  [440,] 0.44035531 0.2596967205 5.105149e-02
##  [441,] 0.44409385 0.2114732637 3.356718e-02
##  [442,] 0.24369776 0.4430868383 2.685375e-01
##  [443,] 0.44435820 0.2275981001 3.885821e-02
##  [444,] 0.27551945 0.4362391326 2.302373e-01
##  [445,] 0.42415495 0.3063341278 7.374710e-02
##  [446,] 0.44035531 0.2596967205 5.105149e-02
##  [447,] 0.36014652 0.0776786613 5.584740e-03
##  [448,] 0.43623913 0.2755194522 5.800410e-02
##  [449,] 0.34934628 0.3975319727 1.507880e-01
##  [450,] 0.44435820 0.2275981001 3.885821e-02
##  [451,] 0.39289970 0.1042386963 9.218388e-03
##  [452,] 0.04683881 0.0007678494 4.195898e-06
##  [453,] 0.43623913 0.2755194522 5.800410e-02
##  [454,] 0.44409385 0.2114732637 3.356718e-02
##  [455,] 0.29364573 0.0435030714 2.148300e-03
##  [456,] 0.44409385 0.2114732637 3.356718e-02
##  [457,] 0.42415495 0.3063341278 7.374710e-02
##  [458,] 0.33553758 0.4074384881 1.649156e-01
##  [459,] 0.13311487 0.4170932496 4.356307e-01
##  [460,] 0.34037125 0.0654560102 4.195898e-03
##  [461,] 0.32117502 0.4163379880 1.798991e-01
##  [462,] 0.33553758 0.4074384881 1.649156e-01
##  [463,] 0.31822950 0.0540389715 3.058810e-03
##  [464,] 0.40602867 0.1184250277 1.151354e-02
##  [465,] 0.34934628 0.3975319727 1.507880e-01
##  [466,] 0.43081384 0.2910904300 6.556091e-02
##  [467,] 0.36252559 0.3866939680 1.374912e-01
##  [468,] 0.32117502 0.4163379880 1.798991e-01
##  [469,] 0.30633413 0.4241549461 1.957638e-01
##  [470,] 0.23685006 0.0253767916 9.063140e-04
##  [471,] 0.37763083 0.0906313987 7.250512e-03
##  [472,] 0.41633799 0.3211750193 8.258786e-02
##  [473,] 0.29109043 0.4308138364 2.125348e-01
##  [474,] 0.44035531 0.2596967205 5.105149e-02
##  [475,] 0.42415495 0.3063341278 7.374710e-02
##  [476,] 0.33553758 0.4074384881 1.649156e-01
##  [477,] 0.29109043 0.4308138364 2.125348e-01
##  [478,] 0.31822950 0.0540389715 3.058810e-03
##  [479,] 0.40743849 0.3355375785 9.210835e-02
##  [480,] 0.43081384 0.2910904300 6.556091e-02
##  [481,] 0.38669397 0.3625255950 1.132892e-01
##  [482,] 0.41709325 0.1331148669 1.416116e-02
##  [483,] 0.36252559 0.3866939680 1.374912e-01
##  [484,] 0.23685006 0.0253767916 9.063140e-04
##  [485,] 0.43623913 0.2755194522 5.800410e-02
##  [486,] 0.32117502 0.4163379880 1.798991e-01
##  [487,] 0.37500000 0.3750000000 1.250000e-01
##  [488,] 0.40743849 0.3355375785 9.210835e-02
##  [489,] 0.44308684 0.2436977611 4.467792e-02
##  [490,] 0.44035531 0.2596967205 5.105149e-02
##  [491,] 0.43865597 0.1794501695 2.447048e-02
##  [492,] 0.42616898 0.1482326877 1.718640e-02
##  [493,] 0.23685006 0.0253767916 9.063140e-04
##  [494,] 0.41709325 0.1331148669 1.416116e-02
##  [495,] 0.38669397 0.3625255950 1.132892e-01
##  [496,] 0.26654443 0.0339238361 1.439193e-03
##  [497,] 0.31822950 0.0540389715 3.058810e-03
##  [498,] 0.24369776 0.4430868383 2.685375e-01
##  [499,] 0.33553758 0.4074384881 1.649156e-01
##  [500,] 0.21147326 0.4440938538 3.108657e-01
##  [501,] 0.44435820 0.2275981001 3.885821e-02
##  [502,] 0.34934628 0.3975319727 1.507880e-01
##  [503,] 0.39289970 0.1042386963 9.218388e-03
##  [504,] 0.44308684 0.2436977611 4.467792e-02
##  [505,] 0.40743849 0.3355375785 9.210835e-02
##  [506,] 0.33553758 0.4074384881 1.649156e-01
##  [507,] 0.44308684 0.2436977611 4.467792e-02
##  [508,] 0.29364573 0.0435030714 2.148300e-03
##  [509,] 0.44409385 0.2114732637 3.356718e-02
##  [510,] 0.16370296 0.4333313752 3.823512e-01
##  [511,] 0.43333138 0.1637029640 2.061445e-02
##  [512,] 0.36014652 0.0776786613 5.584740e-03
##  [513,] 0.36014652 0.0776786613 5.584740e-03
##  [514,] 0.17945017 0.4386559699 3.574234e-01
##  [515,] 0.27551945 0.4362391326 2.302373e-01
##  [516,] 0.24369776 0.4430868383 2.685375e-01
##  [517,] 0.44435820 0.2275981001 3.885821e-02
##  [518,] 0.37500000 0.3750000000 1.250000e-01
##  [519,] 0.23685006 0.0253767916 9.063140e-04
##  [520,] 0.19539878 0.4422182874 3.336033e-01
##  [521,] 0.24369776 0.4430868383 2.685375e-01
##  [522,] 0.39753197 0.3493462791 1.023338e-01
##  [523,] 0.39753197 0.3493462791 1.023338e-01
##  [524,] 0.44409385 0.2114732637 3.356718e-02
##  [525,] 0.39289970 0.1042386963 9.218388e-03
##  [526,] 0.27551945 0.4362391326 2.302373e-01
##  [527,] 0.42415495 0.3063341278 7.374710e-02
##  [528,] 0.43865597 0.1794501695 2.447048e-02
##  [529,] 0.29109043 0.4308138364 2.125348e-01
##  [530,] 0.38669397 0.3625255950 1.132892e-01
##  [531,] 0.36252559 0.3866939680 1.374912e-01
##  [532,] 0.43623913 0.2755194522 5.800410e-02
##  [533,] 0.26654443 0.0339238361 1.439193e-03
##  [534,] 0.29109043 0.4308138364 2.125348e-01
##  [535,] 0.34037125 0.0654560102 4.195898e-03
##  [536,] 0.37763083 0.0906313987 7.250512e-03
##  [537,] 0.40743849 0.3355375785 9.210835e-02
##  [538,] 0.38669397 0.3625255950 1.132892e-01
##  [539,] 0.20448709 0.0179374643 5.244873e-04
##  [540,] 0.42616898 0.1482326877 1.718640e-02
##  [541,] 0.41709325 0.1331148669 1.416116e-02
##  [542,] 0.24369776 0.4430868383 2.685375e-01
##  [543,] 0.39753197 0.3493462791 1.023338e-01
##  [544,] 0.23685006 0.0253767916 9.063140e-04
##  [545,] 0.27551945 0.4362391326 2.302373e-01
##  [546,] 0.20448709 0.0179374643 5.244873e-04
##  [547,] 0.41633799 0.3211750193 8.258786e-02
##  [548,] 0.24369776 0.4430868383 2.685375e-01
##  [549,] 0.37763083 0.0906313987 7.250512e-03
##  [550,] 0.40743849 0.3355375785 9.210835e-02
##  [551,] 0.38669397 0.3625255950 1.132892e-01
##  [552,] 0.36252559 0.3866939680 1.374912e-01
##  [553,] 0.44221829 0.1953987782 2.877966e-02
##  [554,] 0.37500000 0.3750000000 1.250000e-01
##  [555,] 0.30633413 0.4241549461 1.957638e-01
##  [556,] 0.33553758 0.4074384881 1.649156e-01
##  [557,] 0.37763083 0.0906313987 7.250512e-03
##  [558,] 0.42616898 0.1482326877 1.718640e-02
##  [559,] 0.44409385 0.2114732637 3.356718e-02
##  [560,] 0.44435820 0.2275981001 3.885821e-02
##  [561,] 0.33553758 0.4074384881 1.649156e-01
##  [562,] 0.24369776 0.4430868383 2.685375e-01
##  [563,] 0.44409385 0.2114732637 3.356718e-02
##  [564,] 0.16370296 0.4333313752 3.823512e-01
##  [565,] 0.39289970 0.1042386963 9.218388e-03
##  [566,] 0.32117502 0.4163379880 1.798991e-01
##  [567,] 0.13145329 0.0066840657 1.132892e-04
##  [568,] 0.34037125 0.0654560102 4.195898e-03
##  [569,] 0.41709325 0.1331148669 1.416116e-02
##  [570,] 0.40602867 0.1184250277 1.151354e-02
##  [571,] 0.34037125 0.0654560102 4.195898e-03
##  [572,] 0.43623913 0.2755194522 5.800410e-02
##  [573,] 0.43865597 0.1794501695 2.447048e-02
##  [574,] 0.32117502 0.4163379880 1.798991e-01
##  [575,] 0.43865597 0.1794501695 2.447048e-02
##  [576,] 0.29109043 0.4308138364 2.125348e-01
##  [577,] 0.13311487 0.4170932496 4.356307e-01
##  [578,] 0.44221829 0.1953987782 2.877966e-02
##  [579,] 0.04683881 0.0007678494 4.195898e-06
##  [580,] 0.36252559 0.3866939680 1.374912e-01
##  [581,] 0.16938001 0.0116813803 2.685375e-04
##  [582,] 0.44308684 0.2436977611 4.467792e-02
##  [583,] 0.44221829 0.1953987782 2.877966e-02
##  [584,] 0.11842503 0.4060286664 4.640328e-01
##  [585,] 0.43333138 0.1637029640 2.061445e-02
##  [586,] 0.41709325 0.1331148669 1.416116e-02
##  [587,] 0.42415495 0.3063341278 7.374710e-02
##  [588,] 0.38669397 0.3625255950 1.132892e-01
##  [589,] 0.39753197 0.3493462791 1.023338e-01
##  [590,] 0.44035531 0.2596967205 5.105149e-02
##  [591,] 0.02537679 0.2368500554 7.368668e-01
##  [592,] 0.41709325 0.1331148669 1.416116e-02
##  [593,] 0.17945017 0.4386559699 3.574234e-01
##  [594,] 0.27551945 0.4362391326 2.302373e-01
##  [595,] 0.36014652 0.0776786613 5.584740e-03
##  [596,] 0.27551945 0.4362391326 2.302373e-01
##  [597,] 0.39753197 0.3493462791 1.023338e-01
##  [598,] 0.41633799 0.3211750193 8.258786e-02
##  [599,] 0.42415495 0.3063341278 7.374710e-02
##  [600,] 0.44308684 0.2436977611 4.467792e-02
##  [601,] 0.27551945 0.4362391326 2.302373e-01
##  [602,] 0.27551945 0.4362391326 2.302373e-01
##  [603,] 0.39753197 0.3493462791 1.023338e-01
##  [604,] 0.44435820 0.2275981001 3.885821e-02
##  [605,] 0.44409385 0.2114732637 3.356718e-02
##  [606,] 0.38669397 0.3625255950 1.132892e-01
##  [607,] 0.42415495 0.3063341278 7.374710e-02
##  [608,] 0.43623913 0.2755194522 5.800410e-02
##  [609,] 0.29109043 0.4308138364 2.125348e-01
##  [610,] 0.44435820 0.2275981001 3.885821e-02
##  [611,] 0.37763083 0.0906313987 7.250512e-03
##  [612,] 0.41709325 0.1331148669 1.416116e-02
##  [613,] 0.39289970 0.1042386963 9.218388e-03
##  [614,] 0.43333138 0.1637029640 2.061445e-02
##  [615,] 0.29109043 0.4308138364 2.125348e-01
##  [616,] 0.43865597 0.1794501695 2.447048e-02
##  [617,] 0.44221829 0.1953987782 2.877966e-02
##  [618,] 0.41709325 0.1331148669 1.416116e-02
##  [619,] 0.39753197 0.3493462791 1.023338e-01
##  [620,] 0.34037125 0.0654560102 4.195898e-03
##  [621,] 0.36014652 0.0776786613 5.584740e-03
##  [622,] 0.44308684 0.2436977611 4.467792e-02
##  [623,] 0.41709325 0.1331148669 1.416116e-02
##  [624,] 0.44308684 0.2436977611 4.467792e-02
##  [625,] 0.44435820 0.2275981001 3.885821e-02
##  [626,] 0.42415495 0.3063341278 7.374710e-02
##  [627,] 0.43081384 0.2910904300 6.556091e-02
##  [628,] 0.42415495 0.3063341278 7.374710e-02
##  [629,] 0.36014652 0.0776786613 5.584740e-03
##  [630,] 0.37500000 0.3750000000 1.250000e-01
##  [631,] 0.39753197 0.3493462791 1.023338e-01
##  [632,] 0.40743849 0.3355375785 9.210835e-02
##  [633,] 0.44035531 0.2596967205 5.105149e-02
##  [634,] 0.33553758 0.4074384881 1.649156e-01
##  [635,] 0.43081384 0.2910904300 6.556091e-02
##  [636,] 0.27551945 0.4362391326 2.302373e-01
##  [637,] 0.36014652 0.0776786613 5.584740e-03
##  [638,] 0.41633799 0.3211750193 8.258786e-02
##  [639,] 0.36014652 0.0776786613 5.584740e-03
##  [640,] 0.09063140 0.3776308281 5.244873e-01
##  [641,] 0.39753197 0.3493462791 1.023338e-01
##  [642,] 0.37763083 0.0906313987 7.250512e-03
##  [643,] 0.37500000 0.3750000000 1.250000e-01
##  [644,] 0.43865597 0.1794501695 2.447048e-02
##  [645,] 0.42415495 0.3063341278 7.374710e-02
##  [646,] 0.43623913 0.2755194522 5.800410e-02
##  [647,] 0.44435820 0.2275981001 3.885821e-02
##  [648,] 0.37763083 0.0906313987 7.250512e-03
##  [649,] 0.34037125 0.0654560102 4.195898e-03
##  [650,] 0.37763083 0.0906313987 7.250512e-03
##  [651,] 0.26654443 0.0339238361 1.439193e-03
##  [652,] 0.33553758 0.4074384881 1.649156e-01
##  [653,] 0.29364573 0.0435030714 2.148300e-03
##  [654,] 0.30633413 0.4241549461 1.957638e-01
##  [655,] 0.25969672 0.4403553087 2.488965e-01
##  [656,] 0.40602867 0.1184250277 1.151354e-02
##  [657,] 0.21147326 0.4440938538 3.108657e-01
##  [658,] 0.37500000 0.3750000000 1.250000e-01
##  [659,] 0.38669397 0.3625255950 1.132892e-01
##  [660,] 0.24369776 0.4430868383 2.685375e-01
##  [661,] 0.37763083 0.0906313987 7.250512e-03
##  [662,] 0.31822950 0.0540389715 3.058810e-03
##  [663,] 0.29109043 0.4308138364 2.125348e-01
##  [664,] 0.36252559 0.3866939680 1.374912e-01
##  [665,] 0.44308684 0.2436977611 4.467792e-02
##  [666,] 0.31822950 0.0540389715 3.058810e-03
##  [667,] 0.37500000 0.3750000000 1.250000e-01
##  [668,] 0.36252559 0.3866939680 1.374912e-01
##  [669,] 0.42415495 0.3063341278 7.374710e-02
##  [670,] 0.04350307 0.2936457319 6.607029e-01
##  [671,] 0.39289970 0.1042386963 9.218388e-03
##  [672,] 0.43865597 0.1794501695 2.447048e-02
##  [673,] 0.16370296 0.4333313752 3.823512e-01
##  [674,] 0.40743849 0.3355375785 9.210835e-02
##  [675,] 0.29109043 0.4308138364 2.125348e-01
##  [676,] 0.42415495 0.3063341278 7.374710e-02
##  [677,] 0.42415495 0.3063341278 7.374710e-02
##  [678,] 0.40602867 0.1184250277 1.151354e-02
##  [679,] 0.43623913 0.2755194522 5.800410e-02
##  [680,] 0.38669397 0.3625255950 1.132892e-01
##  [681,] 0.43865597 0.1794501695 2.447048e-02
##  [682,] 0.39289970 0.1042386963 9.218388e-03
##  [683,] 0.30633413 0.4241549461 1.957638e-01
##  [684,] 0.36014652 0.0776786613 5.584740e-03
##  [685,] 0.43333138 0.1637029640 2.061445e-02
##  [686,] 0.36252559 0.3866939680 1.374912e-01
##  [687,] 0.41709325 0.1331148669 1.416116e-02
##  [688,] 0.42616898 0.1482326877 1.718640e-02
##  [689,] 0.41709325 0.1331148669 1.416116e-02
##  [690,] 0.22759810 0.4443581954 2.891855e-01
##  [691,] 0.17945017 0.4386559699 3.574234e-01
##  [692,] 0.36014652 0.0776786613 5.584740e-03
##  [693,] 0.26654443 0.0339238361 1.439193e-03
##  [694,] 0.11842503 0.4060286664 4.640328e-01
##  [695,] 0.41633799 0.3211750193 8.258786e-02
##  [696,] 0.43333138 0.1637029640 2.061445e-02
##  [697,] 0.43081384 0.2910904300 6.556091e-02
##  [698,] 0.37500000 0.3750000000 1.250000e-01
##  [699,] 0.21147326 0.4440938538 3.108657e-01
##  [700,] 0.40743849 0.3355375785 9.210835e-02
##  [701,] 0.29109043 0.4308138364 2.125348e-01
##  [702,] 0.40602867 0.1184250277 1.151354e-02
##  [703,] 0.32117502 0.4163379880 1.798991e-01
##  [704,] 0.25969672 0.4403553087 2.488965e-01
##  [705,] 0.34934628 0.3975319727 1.507880e-01
##  [706,] 0.22759810 0.4443581954 2.891855e-01
##  [707,] 0.41633799 0.3211750193 8.258786e-02
##  [708,] 0.27551945 0.4362391326 2.302373e-01
##  [709,] 0.37763083 0.0906313987 7.250512e-03
##  [710,] 0.13145329 0.0066840657 1.132892e-04
##  [711,] 0.21147326 0.4440938538 3.108657e-01
##  [712,] 0.21147326 0.4440938538 3.108657e-01
##  [713,] 0.44435820 0.2275981001 3.885821e-02
##  [714,] 0.39753197 0.3493462791 1.023338e-01
##  [715,] 0.42415495 0.3063341278 7.374710e-02
##  [716,] 0.40743849 0.3355375785 9.210835e-02
##  [717,] 0.34037125 0.0654560102 4.195898e-03
##  [718,] 0.23685006 0.0253767916 9.063140e-04
##  [719,] 0.44221829 0.1953987782 2.877966e-02
##  [720,] 0.39289970 0.1042386963 9.218388e-03
##  [721,] 0.04350307 0.2936457319 6.607029e-01
##  [722,] 0.36252559 0.3866939680 1.374912e-01
##  [723,] 0.43865597 0.1794501695 2.447048e-02
##  [724,] 0.31822950 0.0540389715 3.058810e-03
##  [725,] 0.31822950 0.0540389715 3.058810e-03
##  [726,] 0.09063140 0.0030210466 3.356718e-05
##  [727,] 0.37500000 0.3750000000 1.250000e-01
##  [728,] 0.26654443 0.0339238361 1.439193e-03
##  [729,] 0.32117502 0.4163379880 1.798991e-01
##  [730,] 0.41633799 0.3211750193 8.258786e-02
##  [731,] 0.40602867 0.1184250277 1.151354e-02
##  [732,] 0.39753197 0.3493462791 1.023338e-01
##  [733,] 0.36252559 0.3866939680 1.374912e-01
##  [734,] 0.40743849 0.3355375785 9.210835e-02
##  [735,] 0.39753197 0.3493462791 1.023338e-01
##  [736,] 0.29109043 0.4308138364 2.125348e-01
##  [737,] 0.37500000 0.3750000000 1.250000e-01
##  [738,] 0.26654443 0.0339238361 1.439193e-03
##  [739,] 0.16370296 0.4333313752 3.823512e-01
##  [740,] 0.39289970 0.1042386963 9.218388e-03
##  [741,] 0.36014652 0.0776786613 5.584740e-03
##  [742,] 0.34934628 0.3975319727 1.507880e-01
##  [743,] 0.34037125 0.0654560102 4.195898e-03
##  [744,] 0.43333138 0.1637029640 2.061445e-02
##  [745,] 0.44035531 0.2596967205 5.105149e-02
##  [746,] 0.22759810 0.4443581954 2.891855e-01
##  [747,] 0.34934628 0.3975319727 1.507880e-01
##  [748,] 0.29364573 0.0435030714 2.148300e-03
##  [749,] 0.42616898 0.1482326877 1.718640e-02
##  [750,] 0.40602867 0.1184250277 1.151354e-02
##  [751,] 0.20448709 0.0179374643 5.244873e-04
##  [752,] 0.43081384 0.2910904300 6.556091e-02
##  [753,] 0.43865597 0.1794501695 2.447048e-02
##  [754,] 0.36252559 0.3866939680 1.374912e-01
##  [755,] 0.29109043 0.4308138364 2.125348e-01
##  [756,] 0.44435820 0.2275981001 3.885821e-02
##  [757,] 0.44308684 0.2436977611 4.467792e-02
##  [758,] 0.40602867 0.1184250277 1.151354e-02
##  [759,] 0.16370296 0.4333313752 3.823512e-01
##  [760,] 0.44409385 0.2114732637 3.356718e-02
##  [761,] 0.10423870 0.3928997013 4.936432e-01
##  [762,] 0.44435820 0.2275981001 3.885821e-02
##  [763,] 0.39289970 0.1042386963 9.218388e-03
##  [764,] 0.44035531 0.2596967205 5.105149e-02
##  [765,] 0.39753197 0.3493462791 1.023338e-01
##  [766,] 0.19539878 0.4422182874 3.336033e-01
##  [767,] 0.19539878 0.4422182874 3.336033e-01
##  [768,] 0.13145329 0.0066840657 1.132892e-04
##  [769,] 0.16938001 0.0116813803 2.685375e-04
##  [770,] 0.32117502 0.4163379880 1.798991e-01
##  [771,] 0.39753197 0.3493462791 1.023338e-01
##  [772,] 0.43865597 0.1794501695 2.447048e-02
##  [773,] 0.43865597 0.1794501695 2.447048e-02
##  [774,] 0.43623913 0.2755194522 5.800410e-02
##  [775,] 0.30633413 0.4241549461 1.957638e-01
##  [776,] 0.31822950 0.0540389715 3.058810e-03
##  [777,] 0.43865597 0.1794501695 2.447048e-02
##  [778,] 0.43333138 0.1637029640 2.061445e-02
##  [779,] 0.43333138 0.1637029640 2.061445e-02
##  [780,] 0.22759810 0.4443581954 2.891855e-01
##  [781,] 0.40602867 0.1184250277 1.151354e-02
##  [782,] 0.41709325 0.1331148669 1.416116e-02
##  [783,] 0.44221829 0.1953987782 2.877966e-02
##  [784,] 0.40743849 0.3355375785 9.210835e-02
##  [785,] 0.16370296 0.4333313752 3.823512e-01
##  [786,] 0.44035531 0.2596967205 5.105149e-02
##  [787,] 0.44308684 0.2436977611 4.467792e-02
##  [788,] 0.40743849 0.3355375785 9.210835e-02
##  [789,] 0.41633799 0.3211750193 8.258786e-02
##  [790,] 0.38669397 0.3625255950 1.132892e-01
##  [791,] 0.36252559 0.3866939680 1.374912e-01
##  [792,] 0.32117502 0.4163379880 1.798991e-01
##  [793,] 0.37763083 0.0906313987 7.250512e-03
##  [794,] 0.29109043 0.4308138364 2.125348e-01
##  [795,] 0.43333138 0.1637029640 2.061445e-02
##  [796,] 0.41709325 0.1331148669 1.416116e-02
##  [797,] 0.42616898 0.1482326877 1.718640e-02
##  [798,] 0.41709325 0.1331148669 1.416116e-02
##  [799,] 0.37500000 0.3750000000 1.250000e-01
##  [800,] 0.17945017 0.4386559699 3.574234e-01
##  [801,] 0.39289970 0.1042386963 9.218388e-03
##  [802,] 0.43081384 0.2910904300 6.556091e-02
##  [803,] 0.43081384 0.2910904300 6.556091e-02
##  [804,] 0.43081384 0.2910904300 6.556091e-02
##  [805,] 0.38669397 0.3625255950 1.132892e-01
##  [806,] 0.38669397 0.3625255950 1.132892e-01
##  [807,] 0.36014652 0.0776786613 5.584740e-03
##  [808,] 0.33553758 0.4074384881 1.649156e-01
##  [809,] 0.44308684 0.2436977611 4.467792e-02
##  [810,] 0.43081384 0.2910904300 6.556091e-02
##  [811,] 0.40602867 0.1184250277 1.151354e-02
##  [812,] 0.34037125 0.0654560102 4.195898e-03
##  [813,] 0.42415495 0.3063341278 7.374710e-02
##  [814,] 0.44035531 0.2596967205 5.105149e-02
##  [815,] 0.39289970 0.1042386963 9.218388e-03
##  [816,] 0.38669397 0.3625255950 1.132892e-01
##  [817,] 0.36252559 0.3866939680 1.374912e-01
##  [818,] 0.39753197 0.3493462791 1.023338e-01
##  [819,] 0.39289970 0.1042386963 9.218388e-03
##  [820,] 0.44308684 0.2436977611 4.467792e-02
##  [821,] 0.23685006 0.0253767916 9.063140e-04
##  [822,] 0.13311487 0.4170932496 4.356307e-01
##  [823,] 0.34037125 0.0654560102 4.195898e-03
##  [824,] 0.41633799 0.3211750193 8.258786e-02
##  [825,] 0.40743849 0.3355375785 9.210835e-02
##  [826,] 0.05403897 0.3182294988 6.246727e-01
##  [827,] 0.44435820 0.2275981001 3.885821e-02
##  [828,] 0.44035531 0.2596967205 5.105149e-02
##  [829,] 0.41709325 0.1331148669 1.416116e-02
##  [830,] 0.01168138 0.1693800141 8.186701e-01
##  [831,] 0.29364573 0.0435030714 2.148300e-03
##  [832,] 0.34934628 0.3975319727 1.507880e-01
##  [833,] 0.44221829 0.1953987782 2.877966e-02
##  [834,] 0.44221829 0.1953987782 2.877966e-02
##  [835,] 0.40602867 0.1184250277 1.151354e-02
##  [836,] 0.29109043 0.4308138364 2.125348e-01
##  [837,] 0.43865597 0.1794501695 2.447048e-02
##  [838,] 0.44435820 0.2275981001 3.885821e-02
##  [839,] 0.40743849 0.3355375785 9.210835e-02
##  [840,] 0.42616898 0.1482326877 1.718640e-02
##  [841,] 0.44435820 0.2275981001 3.885821e-02
##  [842,] 0.36252559 0.3866939680 1.374912e-01
##  [843,] 0.38669397 0.3625255950 1.132892e-01
##  [844,] 0.39753197 0.3493462791 1.023338e-01
##  [845,] 0.09063140 0.0030210466 3.356718e-05
##  [846,] 0.44221829 0.1953987782 2.877966e-02
##  [847,] 0.30633413 0.4241549461 1.957638e-01
##  [848,] 0.34934628 0.3975319727 1.507880e-01
##  [849,] 0.40602867 0.1184250277 1.151354e-02
##  [850,] 0.43333138 0.1637029640 2.061445e-02
##  [851,] 0.44409385 0.2114732637 3.356718e-02
##  [852,] 0.34037125 0.0654560102 4.195898e-03
##  [853,] 0.19539878 0.4422182874 3.336033e-01
##  [854,] 0.37500000 0.3750000000 1.250000e-01
##  [855,] 0.34037125 0.0654560102 4.195898e-03
##  [856,] 0.19539878 0.4422182874 3.336033e-01
##  [857,] 0.43623913 0.2755194522 5.800410e-02
##  [858,] 0.39289970 0.1042386963 9.218388e-03
##  [859,] 0.36252559 0.3866939680 1.374912e-01
##  [860,] 0.42415495 0.3063341278 7.374710e-02
##  [861,] 0.40743849 0.3355375785 9.210835e-02
##  [862,] 0.44308684 0.2436977611 4.467792e-02
##  [863,] 0.44409385 0.2114732637 3.356718e-02
##  [864,] 0.43081384 0.2910904300 6.556091e-02
##  [865,] 0.39753197 0.3493462791 1.023338e-01
##  [866,] 0.39753197 0.3493462791 1.023338e-01
##  [867,] 0.22759810 0.4443581954 2.891855e-01
##  [868,] 0.43865597 0.1794501695 2.447048e-02
##  [869,] 0.44435820 0.2275981001 3.885821e-02
##  [870,] 0.44308684 0.2436977611 4.467792e-02
##  [871,] 0.43623913 0.2755194522 5.800410e-02
##  [872,] 0.44409385 0.2114732637 3.356718e-02
##  [873,] 0.00000000 0.0000000000 0.000000e+00
##  [874,] 0.43333138 0.1637029640 2.061445e-02
##  [875,] 0.38669397 0.3625255950 1.132892e-01
##  [876,] 0.31822950 0.0540389715 3.058810e-03
##  [877,] 0.44308684 0.2436977611 4.467792e-02
##  [878,] 0.42616898 0.1482326877 1.718640e-02
##  [879,] 0.30633413 0.4241549461 1.957638e-01
##  [880,] 0.09063140 0.0030210466 3.356718e-05
##  [881,] 0.36252559 0.3866939680 1.374912e-01
##  [882,] 0.43623913 0.2755194522 5.800410e-02
##  [883,] 0.22759810 0.4443581954 2.891855e-01
##  [884,] 0.10423870 0.3928997013 4.936432e-01
##  [885,] 0.29364573 0.0435030714 2.148300e-03
##  [886,] 0.44308684 0.2436977611 4.467792e-02
##  [887,] 0.16938001 0.0116813803 2.685375e-04
##  [888,] 0.42415495 0.3063341278 7.374710e-02
##  [889,] 0.30633413 0.4241549461 1.957638e-01
##  [890,] 0.38669397 0.3625255950 1.132892e-01
##  [891,] 0.38669397 0.3625255950 1.132892e-01
##  [892,] 0.37763083 0.0906313987 7.250512e-03
##  [893,] 0.44409385 0.2114732637 3.356718e-02
##  [894,] 0.22759810 0.4443581954 2.891855e-01
##  [895,] 0.44409385 0.2114732637 3.356718e-02
##  [896,] 0.44308684 0.2436977611 4.467792e-02
##  [897,] 0.43865597 0.1794501695 2.447048e-02
##  [898,] 0.21147326 0.4440938538 3.108657e-01
##  [899,] 0.44308684 0.2436977611 4.467792e-02
##  [900,] 0.34037125 0.0654560102 4.195898e-03
##  [901,] 0.42616898 0.1482326877 1.718640e-02
##  [902,] 0.29364573 0.0435030714 2.148300e-03
##  [903,] 0.31822950 0.0540389715 3.058810e-03
##  [904,] 0.44409385 0.2114732637 3.356718e-02
##  [905,] 0.34934628 0.3975319727 1.507880e-01
##  [906,] 0.24369776 0.4430868383 2.685375e-01
##  [907,] 0.43623913 0.2755194522 5.800410e-02
##  [908,] 0.40602867 0.1184250277 1.151354e-02
##  [909,] 0.31822950 0.0540389715 3.058810e-03
##  [910,] 0.34934628 0.3975319727 1.507880e-01
##  [911,] 0.21147326 0.4440938538 3.108657e-01
##  [912,] 0.17945017 0.4386559699 3.574234e-01
##  [913,] 0.20448709 0.0179374643 5.244873e-04
##  [914,] 0.39753197 0.3493462791 1.023338e-01
##  [915,] 0.25969672 0.4403553087 2.488965e-01
##  [916,] 0.34037125 0.0654560102 4.195898e-03
##  [917,] 0.24369776 0.4430868383 2.685375e-01
##  [918,] 0.39753197 0.3493462791 1.023338e-01
##  [919,] 0.44035531 0.2596967205 5.105149e-02
##  [920,] 0.31822950 0.0540389715 3.058810e-03
##  [921,] 0.04683881 0.0007678494 4.195898e-06
##  [922,] 0.39753197 0.3493462791 1.023338e-01
##  [923,] 0.42415495 0.3063341278 7.374710e-02
##  [924,] 0.20448709 0.0179374643 5.244873e-04
##  [925,] 0.43623913 0.2755194522 5.800410e-02
##  [926,] 0.33553758 0.4074384881 1.649156e-01
##  [927,] 0.09063140 0.0030210466 3.356718e-05
##  [928,] 0.41709325 0.1331148669 1.416116e-02
##  [929,] 0.44308684 0.2436977611 4.467792e-02
##  [930,] 0.43333138 0.1637029640 2.061445e-02
##  [931,] 0.42616898 0.1482326877 1.718640e-02
##  [932,] 0.44221829 0.1953987782 2.877966e-02
##  [933,] 0.16938001 0.0116813803 2.685375e-04
##  [934,] 0.42415495 0.3063341278 7.374710e-02
##  [935,] 0.41633799 0.3211750193 8.258786e-02
##  [936,] 0.43623913 0.2755194522 5.800410e-02
##  [937,] 0.33553758 0.4074384881 1.649156e-01
##  [938,] 0.31822950 0.0540389715 3.058810e-03
##  [939,] 0.22759810 0.4443581954 2.891855e-01
##  [940,] 0.33553758 0.4074384881 1.649156e-01
##  [941,] 0.04683881 0.0007678494 4.195898e-06
##  [942,] 0.14823269 0.4261689772 4.084119e-01
##  [943,] 0.44409385 0.2114732637 3.356718e-02
##  [944,] 0.32117502 0.4163379880 1.798991e-01
##  [945,] 0.34037125 0.0654560102 4.195898e-03
##  [946,] 0.44435820 0.2275981001 3.885821e-02
##  [947,] 0.33553758 0.4074384881 1.649156e-01
##  [948,] 0.44035531 0.2596967205 5.105149e-02
##  [949,] 0.39753197 0.3493462791 1.023338e-01
##  [950,] 0.39289970 0.1042386963 9.218388e-03
##  [951,] 0.34037125 0.0654560102 4.195898e-03
##  [952,] 0.41633799 0.3211750193 8.258786e-02
##  [953,] 0.39753197 0.3493462791 1.023338e-01
##  [954,] 0.37500000 0.3750000000 1.250000e-01
##  [955,] 0.38669397 0.3625255950 1.132892e-01
##  [956,] 0.39753197 0.3493462791 1.023338e-01
##  [957,] 0.25969672 0.4403553087 2.488965e-01
##  [958,] 0.44435820 0.2275981001 3.885821e-02
##  [959,] 0.41633799 0.3211750193 8.258786e-02
##  [960,] 0.33553758 0.4074384881 1.649156e-01
##  [961,] 0.34934628 0.3975319727 1.507880e-01
##  [962,] 0.41633799 0.3211750193 8.258786e-02
##  [963,] 0.38669397 0.3625255950 1.132892e-01
##  [964,] 0.39753197 0.3493462791 1.023338e-01
##  [965,] 0.37500000 0.3750000000 1.250000e-01
##  [966,] 0.38669397 0.3625255950 1.132892e-01
##  [967,] 0.27551945 0.4362391326 2.302373e-01
##  [968,] 0.44435820 0.2275981001 3.885821e-02
##  [969,] 0.37500000 0.3750000000 1.250000e-01
##  [970,] 0.40743849 0.3355375785 9.210835e-02
##  [971,] 0.29364573 0.0435030714 2.148300e-03
##  [972,] 0.19539878 0.4422182874 3.336033e-01
##  [973,] 0.17945017 0.4386559699 3.574234e-01
##  [974,] 0.39753197 0.3493462791 1.023338e-01
##  [975,] 0.44308684 0.2436977611 4.467792e-02
##  [976,] 0.19539878 0.4422182874 3.336033e-01
##  [977,] 0.44409385 0.2114732637 3.356718e-02
##  [978,] 0.41633799 0.3211750193 8.258786e-02
##  [979,] 0.31822950 0.0540389715 3.058810e-03
##  [980,] 0.16938001 0.0116813803 2.685375e-04
##  [981,] 0.26654443 0.0339238361 1.439193e-03
##  [982,] 0.43333138 0.1637029640 2.061445e-02
##  [983,] 0.44035531 0.2596967205 5.105149e-02
##  [984,] 0.37500000 0.3750000000 1.250000e-01
##  [985,] 0.43865597 0.1794501695 2.447048e-02
##  [986,] 0.34037125 0.0654560102 4.195898e-03
##  [987,] 0.24369776 0.4430868383 2.685375e-01
##  [988,] 0.14823269 0.4261689772 4.084119e-01
##  [989,] 0.41633799 0.3211750193 8.258786e-02
##  [990,] 0.33553758 0.4074384881 1.649156e-01
##  [991,] 0.43623913 0.2755194522 5.800410e-02
##  [992,] 0.44308684 0.2436977611 4.467792e-02
##  [993,] 0.29109043 0.4308138364 2.125348e-01
##  [994,] 0.40743849 0.3355375785 9.210835e-02
##  [995,] 0.29109043 0.4308138364 2.125348e-01
##  [996,] 0.32117502 0.4163379880 1.798991e-01
##  [997,] 0.41709325 0.1331148669 1.416116e-02
##  [998,] 0.41633799 0.3211750193 8.258786e-02
##  [999,] 0.30633413 0.4241549461 1.957638e-01
## [1000,] 0.40602867 0.1184250277 1.151354e-02
## [1001,] 0.43623913 0.2755194522 5.800410e-02
## [1002,] 0.30633413 0.4241549461 1.957638e-01
## [1003,] 0.44409385 0.2114732637 3.356718e-02
## [1004,] 0.39289970 0.1042386963 9.218388e-03
## [1005,] 0.44035531 0.2596967205 5.105149e-02
## [1006,] 0.41633799 0.3211750193 8.258786e-02
## [1007,] 0.37500000 0.3750000000 1.250000e-01
## [1008,] 0.36252559 0.3866939680 1.374912e-01
## [1009,] 0.44308684 0.2436977611 4.467792e-02
## [1010,] 0.26654443 0.0339238361 1.439193e-03
## [1011,] 0.34934628 0.3975319727 1.507880e-01
## [1012,] 0.40602867 0.1184250277 1.151354e-02
## [1013,] 0.43623913 0.2755194522 5.800410e-02
## [1014,] 0.22759810 0.4443581954 2.891855e-01
## [1015,] 0.39289970 0.1042386963 9.218388e-03
## [1016,] 0.36014652 0.0776786613 5.584740e-03
## [1017,] 0.43333138 0.1637029640 2.061445e-02
## [1018,] 0.34037125 0.0654560102 4.195898e-03
## [1019,] 0.36252559 0.3866939680 1.374912e-01
## [1020,] 0.29364573 0.0435030714 2.148300e-03
## [1021,] 0.39289970 0.1042386963 9.218388e-03
## [1022,] 0.36252559 0.3866939680 1.374912e-01
## [1023,] 0.16938001 0.0116813803 2.685375e-04
## [1024,] 0.29109043 0.4308138364 2.125348e-01
## [1025,] 0.16370296 0.4333313752 3.823512e-01
## [1026,] 0.16370296 0.4333313752 3.823512e-01
## [1027,] 0.43081384 0.2910904300 6.556091e-02
## [1028,] 0.44409385 0.2114732637 3.356718e-02
## [1029,] 0.17945017 0.4386559699 3.574234e-01
## [1030,] 0.43865597 0.1794501695 2.447048e-02
## [1031,] 0.30633413 0.4241549461 1.957638e-01
## [1032,] 0.29364573 0.0435030714 2.148300e-03
## [1033,] 0.40743849 0.3355375785 9.210835e-02
## [1034,] 0.16938001 0.0116813803 2.685375e-04
## [1035,] 0.24369776 0.4430868383 2.685375e-01
## [1036,] 0.16370296 0.4333313752 3.823512e-01
## [1037,] 0.10423870 0.3928997013 4.936432e-01
## [1038,] 0.43081384 0.2910904300 6.556091e-02
## [1039,] 0.44308684 0.2436977611 4.467792e-02
## [1040,] 0.44035531 0.2596967205 5.105149e-02
## [1041,] 0.34934628 0.3975319727 1.507880e-01
## [1042,] 0.43081384 0.2910904300 6.556091e-02
## [1043,] 0.42616898 0.1482326877 1.718640e-02
## [1044,] 0.41709325 0.1331148669 1.416116e-02
## [1045,] 0.40743849 0.3355375785 9.210835e-02
## [1046,] 0.44409385 0.2114732637 3.356718e-02
## [1047,] 0.42415495 0.3063341278 7.374710e-02
## [1048,] 0.36252559 0.3866939680 1.374912e-01
## [1049,] 0.29109043 0.4308138364 2.125348e-01
## [1050,] 0.37500000 0.3750000000 1.250000e-01
## [1051,] 0.39753197 0.3493462791 1.023338e-01
## [1052,] 0.44308684 0.2436977611 4.467792e-02
## [1053,] 0.13145329 0.0066840657 1.132892e-04
## [1054,] 0.19539878 0.4422182874 3.336033e-01
## [1055,] 0.42415495 0.3063341278 7.374710e-02
## [1056,] 0.43081384 0.2910904300 6.556091e-02
## [1057,] 0.36014652 0.0776786613 5.584740e-03
## [1058,] 0.29364573 0.0435030714 2.148300e-03
## [1059,] 0.44409385 0.2114732637 3.356718e-02
## [1060,] 0.41633799 0.3211750193 8.258786e-02
## [1061,] 0.44435820 0.2275981001 3.885821e-02
## [1062,] 0.41709325 0.1331148669 1.416116e-02
## [1063,] 0.42415495 0.3063341278 7.374710e-02
## [1064,] 0.38669397 0.3625255950 1.132892e-01
## [1065,] 0.41633799 0.3211750193 8.258786e-02
## [1066,] 0.27551945 0.4362391326 2.302373e-01
## [1067,] 0.05403897 0.3182294988 6.246727e-01
## [1068,] 0.37763083 0.0906313987 7.250512e-03
## [1069,] 0.41633799 0.3211750193 8.258786e-02
## [1070,] 0.44035531 0.2596967205 5.105149e-02
## [1071,] 0.44308684 0.2436977611 4.467792e-02
## [1072,] 0.22759810 0.4443581954 2.891855e-01
## [1073,] 0.40743849 0.3355375785 9.210835e-02
## [1074,] 0.44409385 0.2114732637 3.356718e-02
## [1075,] 0.32117502 0.4163379880 1.798991e-01
## [1076,] 0.40743849 0.3355375785 9.210835e-02
## [1077,] 0.34037125 0.0654560102 4.195898e-03
## [1078,] 0.42616898 0.1482326877 1.718640e-02
## [1079,] 0.16938001 0.0116813803 2.685375e-04
## [1080,] 0.31822950 0.0540389715 3.058810e-03
## [1081,] 0.33553758 0.4074384881 1.649156e-01
## [1082,] 0.43081384 0.2910904300 6.556091e-02
## [1083,] 0.33553758 0.4074384881 1.649156e-01
## [1084,] 0.30633413 0.4241549461 1.957638e-01
## [1085,] 0.39753197 0.3493462791 1.023338e-01
## [1086,] 0.43623913 0.2755194522 5.800410e-02
## [1087,] 0.04350307 0.2936457319 6.607029e-01
## [1088,] 0.43333138 0.1637029640 2.061445e-02
## [1089,] 0.21147326 0.4440938538 3.108657e-01
## [1090,] 0.41633799 0.3211750193 8.258786e-02
## [1091,] 0.19539878 0.4422182874 3.336033e-01
## [1092,] 0.44435820 0.2275981001 3.885821e-02
## [1093,] 0.26654443 0.0339238361 1.439193e-03
## [1094,] 0.34934628 0.3975319727 1.507880e-01
## [1095,] 0.24369776 0.4430868383 2.685375e-01
## [1096,] 0.33553758 0.4074384881 1.649156e-01
## [1097,] 0.41633799 0.3211750193 8.258786e-02
## [1098,] 0.44035531 0.2596967205 5.105149e-02
## [1099,] 0.43623913 0.2755194522 5.800410e-02
## [1100,] 0.39289970 0.1042386963 9.218388e-03
## [1101,] 0.39753197 0.3493462791 1.023338e-01
## [1102,] 0.32117502 0.4163379880 1.798991e-01
## [1103,] 0.44221829 0.1953987782 2.877966e-02
## [1104,] 0.33553758 0.4074384881 1.649156e-01
## [1105,] 0.44035531 0.2596967205 5.105149e-02
## [1106,] 0.44435820 0.2275981001 3.885821e-02
## [1107,] 0.20448709 0.0179374643 5.244873e-04
## [1108,] 0.43081384 0.2910904300 6.556091e-02
## [1109,] 0.36014652 0.0776786613 5.584740e-03
## [1110,] 0.43081384 0.2910904300 6.556091e-02
## [1111,] 0.14823269 0.4261689772 4.084119e-01
## [1112,] 0.37500000 0.3750000000 1.250000e-01
## [1113,] 0.40743849 0.3355375785 9.210835e-02
## [1114,] 0.37763083 0.0906313987 7.250512e-03
## [1115,] 0.36014652 0.0776786613 5.584740e-03
## [1116,] 0.40602867 0.1184250277 1.151354e-02
## [1117,] 0.44308684 0.2436977611 4.467792e-02
## [1118,] 0.23685006 0.0253767916 9.063140e-04
## [1119,] 0.39753197 0.3493462791 1.023338e-01
## [1120,] 0.26654443 0.0339238361 1.439193e-03
## [1121,] 0.42415495 0.3063341278 7.374710e-02
## [1122,] 0.30633413 0.4241549461 1.957638e-01
## [1123,] 0.22759810 0.4443581954 2.891855e-01
## [1124,] 0.16370296 0.4333313752 3.823512e-01
## [1125,] 0.37500000 0.3750000000 1.250000e-01
## [1126,] 0.23685006 0.0253767916 9.063140e-04
## [1127,] 0.11842503 0.4060286664 4.640328e-01
## [1128,] 0.25969672 0.4403553087 2.488965e-01
## [1129,] 0.39753197 0.3493462791 1.023338e-01
## [1130,] 0.20448709 0.0179374643 5.244873e-04
## [1131,] 0.43081384 0.2910904300 6.556091e-02
## [1132,] 0.24369776 0.4430868383 2.685375e-01
## [1133,] 0.38669397 0.3625255950 1.132892e-01
## [1134,] 0.36252559 0.3866939680 1.374912e-01
## [1135,] 0.24369776 0.4430868383 2.685375e-01
## [1136,] 0.09063140 0.0030210466 3.356718e-05
## [1137,] 0.42415495 0.3063341278 7.374710e-02
## [1138,] 0.36252559 0.3866939680 1.374912e-01
## [1139,] 0.29109043 0.4308138364 2.125348e-01
## [1140,] 0.44435820 0.2275981001 3.885821e-02
## [1141,] 0.36252559 0.3866939680 1.374912e-01
## [1142,] 0.23685006 0.0253767916 9.063140e-04
## [1143,] 0.32117502 0.4163379880 1.798991e-01
## [1144,] 0.43333138 0.1637029640 2.061445e-02
## [1145,] 0.26654443 0.0339238361 1.439193e-03
## [1146,] 0.23685006 0.0253767916 9.063140e-04
## [1147,] 0.25969672 0.4403553087 2.488965e-01
## [1148,] 0.44308684 0.2436977611 4.467792e-02
## [1149,] 0.38669397 0.3625255950 1.132892e-01
## [1150,] 0.44035531 0.2596967205 5.105149e-02
## [1151,] 0.36252559 0.3866939680 1.374912e-01
## [1152,] 0.43333138 0.1637029640 2.061445e-02
## [1153,] 0.31822950 0.0540389715 3.058810e-03
## [1154,] 0.44035531 0.2596967205 5.105149e-02
## [1155,] 0.22759810 0.4443581954 2.891855e-01
## [1156,] 0.29109043 0.4308138364 2.125348e-01
## [1157,] 0.30633413 0.4241549461 1.957638e-01
## [1158,] 0.42616898 0.1482326877 1.718640e-02
## [1159,] 0.43081384 0.2910904300 6.556091e-02
## [1160,] 0.43081384 0.2910904300 6.556091e-02
## [1161,] 0.41633799 0.3211750193 8.258786e-02
## [1162,] 0.44308684 0.2436977611 4.467792e-02
## [1163,] 0.41709325 0.1331148669 1.416116e-02
## [1164,] 0.41633799 0.3211750193 8.258786e-02
## [1165,] 0.13145329 0.0066840657 1.132892e-04
## [1166,] 0.30633413 0.4241549461 1.957638e-01
## [1167,] 0.43333138 0.1637029640 2.061445e-02
## [1168,] 0.20448709 0.0179374643 5.244873e-04
## [1169,] 0.19539878 0.4422182874 3.336033e-01
## [1170,] 0.34934628 0.3975319727 1.507880e-01
## [1171,] 0.43081384 0.2910904300 6.556091e-02
## [1172,] 0.09063140 0.0030210466 3.356718e-05
## [1173,] 0.34934628 0.3975319727 1.507880e-01
## [1174,] 0.13311487 0.4170932496 4.356307e-01
## [1175,] 0.43865597 0.1794501695 2.447048e-02
## [1176,] 0.41709325 0.1331148669 1.416116e-02
## [1177,] 0.40602867 0.1184250277 1.151354e-02
## [1178,] 0.41633799 0.3211750193 8.258786e-02
## [1179,] 0.34934628 0.3975319727 1.507880e-01
## [1180,] 0.41709325 0.1331148669 1.416116e-02
## [1181,] 0.39753197 0.3493462791 1.023338e-01
## [1182,] 0.20448709 0.0179374643 5.244873e-04
## [1183,] 0.25969672 0.4403553087 2.488965e-01
## [1184,] 0.19539878 0.4422182874 3.336033e-01
## [1185,] 0.36014652 0.0776786613 5.584740e-03
## [1186,] 0.44221829 0.1953987782 2.877966e-02
## [1187,] 0.44435820 0.2275981001 3.885821e-02
## [1188,] 0.22759810 0.4443581954 2.891855e-01
## [1189,] 0.39289970 0.1042386963 9.218388e-03
## [1190,] 0.29364573 0.0435030714 2.148300e-03
## [1191,] 0.34934628 0.3975319727 1.507880e-01
## [1192,] 0.44409385 0.2114732637 3.356718e-02
## [1193,] 0.36252559 0.3866939680 1.374912e-01
## [1194,] 0.37500000 0.3750000000 1.250000e-01
## [1195,] 0.44308684 0.2436977611 4.467792e-02
## [1196,] 0.37763083 0.0906313987 7.250512e-03
## [1197,] 0.44035531 0.2596967205 5.105149e-02
## [1198,] 0.40602867 0.1184250277 1.151354e-02
## [1199,] 0.29364573 0.0435030714 2.148300e-03
## [1200,] 0.44035531 0.2596967205 5.105149e-02
## [1201,] 0.43333138 0.1637029640 2.061445e-02
## [1202,] 0.36252559 0.3866939680 1.374912e-01
## [1203,] 0.43081384 0.2910904300 6.556091e-02
## [1204,] 0.36252559 0.3866939680 1.374912e-01
## [1205,] 0.04683881 0.0007678494 4.195898e-06
## [1206,] 0.43623913 0.2755194522 5.800410e-02
## [1207,] 0.32117502 0.4163379880 1.798991e-01
## [1208,] 0.16938001 0.0116813803 2.685375e-04
## [1209,] 0.37500000 0.3750000000 1.250000e-01
## [1210,] 0.41709325 0.1331148669 1.416116e-02
## [1211,] 0.39289970 0.1042386963 9.218388e-03
## [1212,] 0.44308684 0.2436977611 4.467792e-02
## [1213,] 0.38669397 0.3625255950 1.132892e-01
## [1214,] 0.40743849 0.3355375785 9.210835e-02
## [1215,] 0.36252559 0.3866939680 1.374912e-01
## [1216,] 0.44409385 0.2114732637 3.356718e-02
## [1217,] 0.41709325 0.1331148669 1.416116e-02
## [1218,] 0.33553758 0.4074384881 1.649156e-01
## [1219,] 0.38669397 0.3625255950 1.132892e-01
## [1220,] 0.32117502 0.4163379880 1.798991e-01
## [1221,] 0.43081384 0.2910904300 6.556091e-02
## [1222,] 0.30633413 0.4241549461 1.957638e-01
## [1223,] 0.26654443 0.0339238361 1.439193e-03
## [1224,] 0.43333138 0.1637029640 2.061445e-02
## [1225,] 0.43865597 0.1794501695 2.447048e-02
## [1226,] 0.43081384 0.2910904300 6.556091e-02
## [1227,] 0.33553758 0.4074384881 1.649156e-01
## [1228,] 0.34934628 0.3975319727 1.507880e-01
## [1229,] 0.38669397 0.3625255950 1.132892e-01
## [1230,] 0.43623913 0.2755194522 5.800410e-02
## [1231,] 0.40602867 0.1184250277 1.151354e-02
## [1232,] 0.38669397 0.3625255950 1.132892e-01
## [1233,] 0.09063140 0.0030210466 3.356718e-05
## [1234,] 0.24369776 0.4430868383 2.685375e-01
## [1235,] 0.44409385 0.2114732637 3.356718e-02
## [1236,] 0.20448709 0.0179374643 5.244873e-04
## [1237,] 0.30633413 0.4241549461 1.957638e-01
## [1238,] 0.11842503 0.4060286664 4.640328e-01
## [1239,] 0.39753197 0.3493462791 1.023338e-01
## [1240,] 0.43333138 0.1637029640 2.061445e-02
## [1241,] 0.44035531 0.2596967205 5.105149e-02
## [1242,] 0.44308684 0.2436977611 4.467792e-02
## [1243,] 0.36252559 0.3866939680 1.374912e-01
## [1244,] 0.43333138 0.1637029640 2.061445e-02
## [1245,] 0.43081384 0.2910904300 6.556091e-02
## [1246,] 0.20448709 0.0179374643 5.244873e-04
## [1247,] 0.23685006 0.0253767916 9.063140e-04
## [1248,] 0.36252559 0.3866939680 1.374912e-01
## [1249,] 0.29109043 0.4308138364 2.125348e-01
## [1250,] 0.44035531 0.2596967205 5.105149e-02
## [1251,] 0.30633413 0.4241549461 1.957638e-01
## [1252,] 0.44435820 0.2275981001 3.885821e-02
## [1253,] 0.43333138 0.1637029640 2.061445e-02
## [1254,] 0.34934628 0.3975319727 1.507880e-01
## [1255,] 0.29109043 0.4308138364 2.125348e-01
## [1256,] 0.25969672 0.4403553087 2.488965e-01
## [1257,] 0.13145329 0.0066840657 1.132892e-04
## [1258,] 0.21147326 0.4440938538 3.108657e-01
## [1259,] 0.27551945 0.4362391326 2.302373e-01
## [1260,] 0.40602867 0.1184250277 1.151354e-02
## [1261,] 0.34037125 0.0654560102 4.195898e-03
## [1262,] 0.21147326 0.4440938538 3.108657e-01
## [1263,] 0.29109043 0.4308138364 2.125348e-01
## [1264,] 0.43865597 0.1794501695 2.447048e-02
## [1265,] 0.40743849 0.3355375785 9.210835e-02
## [1266,] 0.42415495 0.3063341278 7.374710e-02
## [1267,] 0.43865597 0.1794501695 2.447048e-02
## [1268,] 0.44035531 0.2596967205 5.105149e-02
## [1269,] 0.16938001 0.0116813803 2.685375e-04
## [1270,] 0.34934628 0.3975319727 1.507880e-01
## [1271,] 0.25969672 0.4403553087 2.488965e-01
## [1272,] 0.29109043 0.4308138364 2.125348e-01
## [1273,] 0.43865597 0.1794501695 2.447048e-02
## [1274,] 0.44409385 0.2114732637 3.356718e-02
## [1275,] 0.42415495 0.3063341278 7.374710e-02
## [1276,] 0.27551945 0.4362391326 2.302373e-01
## [1277,] 0.44409385 0.2114732637 3.356718e-02
## [1278,] 0.43865597 0.1794501695 2.447048e-02
## [1279,] 0.34037125 0.0654560102 4.195898e-03
## [1280,] 0.34934628 0.3975319727 1.507880e-01
## [1281,] 0.29109043 0.4308138364 2.125348e-01
## [1282,] 0.44435820 0.2275981001 3.885821e-02
## [1283,] 0.43623913 0.2755194522 5.800410e-02
## [1284,] 0.41709325 0.1331148669 1.416116e-02
## [1285,] 0.44308684 0.2436977611 4.467792e-02
## [1286,] 0.44308684 0.2436977611 4.467792e-02
## [1287,] 0.34934628 0.3975319727 1.507880e-01
## [1288,] 0.01168138 0.1693800141 8.186701e-01
## [1289,] 0.25969672 0.4403553087 2.488965e-01
## [1290,] 0.26654443 0.0339238361 1.439193e-03
## [1291,] 0.31822950 0.0540389715 3.058810e-03
## [1292,] 0.41709325 0.1331148669 1.416116e-02
## [1293,] 0.42616898 0.1482326877 1.718640e-02
## [1294,] 0.39753197 0.3493462791 1.023338e-01
## [1295,] 0.39289970 0.1042386963 9.218388e-03
## [1296,] 0.40743849 0.3355375785 9.210835e-02
## [1297,] 0.39753197 0.3493462791 1.023338e-01
## [1298,] 0.37500000 0.3750000000 1.250000e-01
## [1299,] 0.34934628 0.3975319727 1.507880e-01
## [1300,] 0.39289970 0.1042386963 9.218388e-03
## [1301,] 0.38669397 0.3625255950 1.132892e-01
## [1302,] 0.30633413 0.4241549461 1.957638e-01
## [1303,] 0.27551945 0.4362391326 2.302373e-01
## [1304,] 0.40602867 0.1184250277 1.151354e-02
## [1305,] 0.21147326 0.4440938538 3.108657e-01
## [1306,] 0.43623913 0.2755194522 5.800410e-02
## [1307,] 0.40743849 0.3355375785 9.210835e-02
## [1308,] 0.32117502 0.4163379880 1.798991e-01
## [1309,] 0.40602867 0.1184250277 1.151354e-02
## [1310,] 0.37763083 0.0906313987 7.250512e-03
## [1311,] 0.36252559 0.3866939680 1.374912e-01
## [1312,] 0.44308684 0.2436977611 4.467792e-02
## [1313,] 0.29109043 0.4308138364 2.125348e-01
## [1314,] 0.43333138 0.1637029640 2.061445e-02
## [1315,] 0.41709325 0.1331148669 1.416116e-02
## [1316,] 0.44409385 0.2114732637 3.356718e-02
## [1317,] 0.43623913 0.2755194522 5.800410e-02
## [1318,] 0.41633799 0.3211750193 8.258786e-02
## [1319,] 0.37763083 0.0906313987 7.250512e-03
## [1320,] 0.42616898 0.1482326877 1.718640e-02
## [1321,] 0.43081384 0.2910904300 6.556091e-02
## [1322,] 0.24369776 0.4430868383 2.685375e-01
## [1323,] 0.42415495 0.3063341278 7.374710e-02
## [1324,] 0.34037125 0.0654560102 4.195898e-03
## [1325,] 0.44221829 0.1953987782 2.877966e-02
## [1326,] 0.27551945 0.4362391326 2.302373e-01
## [1327,] 0.44409385 0.2114732637 3.356718e-02
## [1328,] 0.44035531 0.2596967205 5.105149e-02
## [1329,] 0.17945017 0.4386559699 3.574234e-01
## [1330,] 0.44308684 0.2436977611 4.467792e-02
## [1331,] 0.34934628 0.3975319727 1.507880e-01
## [1332,] 0.44035531 0.2596967205 5.105149e-02
## [1333,] 0.33553758 0.4074384881 1.649156e-01
## [1334,] 0.31822950 0.0540389715 3.058810e-03
## [1335,] 0.33553758 0.4074384881 1.649156e-01
## [1336,] 0.34934628 0.3975319727 1.507880e-01
## [1337,] 0.34934628 0.3975319727 1.507880e-01
## [1338,] 0.34037125 0.0654560102 4.195898e-03
## [1339,] 0.37500000 0.3750000000 1.250000e-01
## [1340,] 0.19539878 0.4422182874 3.336033e-01
## [1341,] 0.38669397 0.3625255950 1.132892e-01
## [1342,] 0.39289970 0.1042386963 9.218388e-03
## [1343,] 0.32117502 0.4163379880 1.798991e-01
## [1344,] 0.37500000 0.3750000000 1.250000e-01
## [1345,] 0.38669397 0.3625255950 1.132892e-01
## [1346,] 0.42415495 0.3063341278 7.374710e-02
## [1347,] 0.20448709 0.0179374643 5.244873e-04
## [1348,] 0.43623913 0.2755194522 5.800410e-02
## [1349,] 0.40602867 0.1184250277 1.151354e-02
## [1350,] 0.43081384 0.2910904300 6.556091e-02
## [1351,] 0.29364573 0.0435030714 2.148300e-03
## [1352,] 0.10423870 0.3928997013 4.936432e-01
## [1353,] 0.39289970 0.1042386963 9.218388e-03
## [1354,] 0.37500000 0.3750000000 1.250000e-01
## [1355,] 0.36014652 0.0776786613 5.584740e-03
## [1356,] 0.44035531 0.2596967205 5.105149e-02
## [1357,] 0.44435820 0.2275981001 3.885821e-02
## [1358,] 0.43081384 0.2910904300 6.556091e-02
## [1359,] 0.43865597 0.1794501695 2.447048e-02
## [1360,] 0.24369776 0.4430868383 2.685375e-01
## [1361,] 0.41633799 0.3211750193 8.258786e-02
## [1362,] 0.13145329 0.0066840657 1.132892e-04
## [1363,] 0.44435820 0.2275981001 3.885821e-02
## [1364,] 0.34037125 0.0654560102 4.195898e-03
## [1365,] 0.30633413 0.4241549461 1.957638e-01
## [1366,] 0.23685006 0.0253767916 9.063140e-04
## [1367,] 0.25969672 0.4403553087 2.488965e-01
## [1368,] 0.39753197 0.3493462791 1.023338e-01
## [1369,] 0.42415495 0.3063341278 7.374710e-02
## [1370,] 0.40602867 0.1184250277 1.151354e-02
## [1371,] 0.44435820 0.2275981001 3.885821e-02
## [1372,] 0.43623913 0.2755194522 5.800410e-02
## [1373,] 0.23685006 0.0253767916 9.063140e-04
## [1374,] 0.41709325 0.1331148669 1.416116e-02
## [1375,] 0.34037125 0.0654560102 4.195898e-03
## [1376,] 0.16938001 0.0116813803 2.685375e-04
## [1377,] 0.44221829 0.1953987782 2.877966e-02
## [1378,] 0.00000000 0.0000000000 0.000000e+00
## [1379,] 0.44221829 0.1953987782 2.877966e-02
## [1380,] 0.43081384 0.2910904300 6.556091e-02
## [1381,] 0.37500000 0.3750000000 1.250000e-01
## [1382,] 0.33553758 0.4074384881 1.649156e-01
## [1383,] 0.42616898 0.1482326877 1.718640e-02
## [1384,] 0.43333138 0.1637029640 2.061445e-02
## [1385,] 0.42616898 0.1482326877 1.718640e-02
## [1386,] 0.36252559 0.3866939680 1.374912e-01
## [1387,] 0.36252559 0.3866939680 1.374912e-01
## [1388,] 0.29109043 0.4308138364 2.125348e-01
## [1389,] 0.27551945 0.4362391326 2.302373e-01
## [1390,] 0.36252559 0.3866939680 1.374912e-01
## [1391,] 0.42415495 0.3063341278 7.374710e-02
## [1392,] 0.37763083 0.0906313987 7.250512e-03
## [1393,] 0.42616898 0.1482326877 1.718640e-02
## [1394,] 0.36252559 0.3866939680 1.374912e-01
## [1395,] 0.32117502 0.4163379880 1.798991e-01
## [1396,] 0.44308684 0.2436977611 4.467792e-02
## [1397,] 0.43865597 0.1794501695 2.447048e-02
## [1398,] 0.30633413 0.4241549461 1.957638e-01
## [1399,] 0.42415495 0.3063341278 7.374710e-02
## [1400,] 0.00000000 0.0000000000 1.000000e+00
## [1401,] 0.41633799 0.3211750193 8.258786e-02
## [1402,] 0.34934628 0.3975319727 1.507880e-01
## [1403,] 0.21147326 0.4440938538 3.108657e-01
## [1404,] 0.41709325 0.1331148669 1.416116e-02
## [1405,] 0.44221829 0.1953987782 2.877966e-02
## [1406,] 0.22759810 0.4443581954 2.891855e-01
## [1407,] 0.27551945 0.4362391326 2.302373e-01
## [1408,] 0.44221829 0.1953987782 2.877966e-02
## [1409,] 0.43865597 0.1794501695 2.447048e-02
## [1410,] 0.41633799 0.3211750193 8.258786e-02
## [1411,] 0.43865597 0.1794501695 2.447048e-02
## [1412,] 0.20448709 0.0179374643 5.244873e-04
## [1413,] 0.41709325 0.1331148669 1.416116e-02
## [1414,] 0.44221829 0.1953987782 2.877966e-02
## [1415,] 0.27551945 0.4362391326 2.302373e-01
## [1416,] 0.16938001 0.0116813803 2.685375e-04
## [1417,] 0.21147326 0.4440938538 3.108657e-01
## [1418,] 0.37763083 0.0906313987 7.250512e-03
## [1419,] 0.36252559 0.3866939680 1.374912e-01
## [1420,] 0.44409385 0.2114732637 3.356718e-02
## [1421,] 0.29109043 0.4308138364 2.125348e-01
## [1422,] 0.44435820 0.2275981001 3.885821e-02
## [1423,] 0.05403897 0.3182294988 6.246727e-01
## [1424,] 0.41709325 0.1331148669 1.416116e-02
## [1425,] 0.41633799 0.3211750193 8.258786e-02
## [1426,] 0.44035531 0.2596967205 5.105149e-02
## [1427,] 0.22759810 0.4443581954 2.891855e-01
## [1428,] 0.41709325 0.1331148669 1.416116e-02
## [1429,] 0.39753197 0.3493462791 1.023338e-01
## [1430,] 0.42616898 0.1482326877 1.718640e-02
## [1431,] 0.20448709 0.0179374643 5.244873e-04
## [1432,] 0.40602867 0.1184250277 1.151354e-02
## [1433,] 0.37763083 0.0906313987 7.250512e-03
## [1434,] 0.33553758 0.4074384881 1.649156e-01
## [1435,] 0.36252559 0.3866939680 1.374912e-01
## [1436,] 0.25969672 0.4403553087 2.488965e-01
## [1437,] 0.40743849 0.3355375785 9.210835e-02
## [1438,] 0.40602867 0.1184250277 1.151354e-02
## [1439,] 0.32117502 0.4163379880 1.798991e-01
## [1440,] 0.39289970 0.1042386963 9.218388e-03
## [1441,] 0.44221829 0.1953987782 2.877966e-02
## [1442,] 0.23685006 0.0253767916 9.063140e-04
## [1443,] 0.32117502 0.4163379880 1.798991e-01
## [1444,] 0.44435820 0.2275981001 3.885821e-02
## [1445,] 0.43865597 0.1794501695 2.447048e-02
## [1446,] 0.41633799 0.3211750193 8.258786e-02
## [1447,] 0.43081384 0.2910904300 6.556091e-02
## [1448,] 0.09063140 0.0030210466 3.356718e-05
## [1449,] 0.31822950 0.0540389715 3.058810e-03
## [1450,] 0.43333138 0.1637029640 2.061445e-02
## [1451,] 0.36252559 0.3866939680 1.374912e-01
## [1452,] 0.27551945 0.4362391326 2.302373e-01
## [1453,] 0.43333138 0.1637029640 2.061445e-02
## [1454,] 0.20448709 0.0179374643 5.244873e-04
## [1455,] 0.30633413 0.4241549461 1.957638e-01
## [1456,] 0.43081384 0.2910904300 6.556091e-02
## [1457,] 0.43623913 0.2755194522 5.800410e-02
## [1458,] 0.34934628 0.3975319727 1.507880e-01
## [1459,] 0.37500000 0.3750000000 1.250000e-01
## [1460,] 0.36252559 0.3866939680 1.374912e-01
## [1461,] 0.44409385 0.2114732637 3.356718e-02
## [1462,] 0.44035531 0.2596967205 5.105149e-02
## [1463,] 0.34934628 0.3975319727 1.507880e-01
## [1464,] 0.34934628 0.3975319727 1.507880e-01
## [1465,] 0.42415495 0.3063341278 7.374710e-02
## [1466,] 0.43081384 0.2910904300 6.556091e-02
## [1467,] 0.42616898 0.1482326877 1.718640e-02
## [1468,] 0.43081384 0.2910904300 6.556091e-02
## [1469,] 0.22759810 0.4443581954 2.891855e-01
## [1470,] 0.44308684 0.2436977611 4.467792e-02
## [1471,] 0.37500000 0.3750000000 1.250000e-01
## [1472,] 0.29109043 0.4308138364 2.125348e-01
## [1473,] 0.36014652 0.0776786613 5.584740e-03
## [1474,] 0.11842503 0.4060286664 4.640328e-01
## [1475,] 0.19539878 0.4422182874 3.336033e-01
## [1476,] 0.42616898 0.1482326877 1.718640e-02
## [1477,] 0.44035531 0.2596967205 5.105149e-02
## [1478,] 0.29364573 0.0435030714 2.148300e-03
## [1479,] 0.42415495 0.3063341278 7.374710e-02
## [1480,] 0.21147326 0.4440938538 3.108657e-01
## [1481,] 0.25969672 0.4403553087 2.488965e-01
## [1482,] 0.44221829 0.1953987782 2.877966e-02
## [1483,] 0.17945017 0.4386559699 3.574234e-01
## [1484,] 0.44308684 0.2436977611 4.467792e-02
## [1485,] 0.44435820 0.2275981001 3.885821e-02
## [1486,] 0.41633799 0.3211750193 8.258786e-02
## [1487,] 0.44035531 0.2596967205 5.105149e-02
## [1488,] 0.34037125 0.0654560102 4.195898e-03
## [1489,] 0.24369776 0.4430868383 2.685375e-01
## [1490,] 0.39753197 0.3493462791 1.023338e-01
## [1491,] 0.29364573 0.0435030714 2.148300e-03
## [1492,] 0.33553758 0.4074384881 1.649156e-01
## [1493,] 0.39289970 0.1042386963 9.218388e-03
## [1494,] 0.33553758 0.4074384881 1.649156e-01
## [1495,] 0.44409385 0.2114732637 3.356718e-02
## [1496,] 0.36014652 0.0776786613 5.584740e-03
## [1497,] 0.43623913 0.2755194522 5.800410e-02
## [1498,] 0.25969672 0.4403553087 2.488965e-01
## [1499,] 0.44435820 0.2275981001 3.885821e-02
## [1500,] 0.29364573 0.0435030714 2.148300e-03
## [1501,] 0.43623913 0.2755194522 5.800410e-02
## [1502,] 0.38669397 0.3625255950 1.132892e-01
## [1503,] 0.30633413 0.4241549461 1.957638e-01
## [1504,] 0.44221829 0.1953987782 2.877966e-02
## [1505,] 0.39289970 0.1042386963 9.218388e-03
## [1506,] 0.44035531 0.2596967205 5.105149e-02
## [1507,] 0.44221829 0.1953987782 2.877966e-02
## [1508,] 0.43081384 0.2910904300 6.556091e-02
## [1509,] 0.30633413 0.4241549461 1.957638e-01
## [1510,] 0.41633799 0.3211750193 8.258786e-02
## [1511,] 0.13145329 0.0066840657 1.132892e-04
## [1512,] 0.22759810 0.4443581954 2.891855e-01
## [1513,] 0.41709325 0.1331148669 1.416116e-02
## [1514,] 0.41633799 0.3211750193 8.258786e-02
## [1515,] 0.32117502 0.4163379880 1.798991e-01
## [1516,] 0.16370296 0.4333313752 3.823512e-01
## [1517,] 0.27551945 0.4362391326 2.302373e-01
## [1518,] 0.13145329 0.0066840657 1.132892e-04
## [1519,] 0.44435820 0.2275981001 3.885821e-02
## [1520,] 0.37763083 0.0906313987 7.250512e-03
## [1521,] 0.43623913 0.2755194522 5.800410e-02
## [1522,] 0.44308684 0.2436977611 4.467792e-02
## [1523,] 0.39753197 0.3493462791 1.023338e-01
## [1524,] 0.43081384 0.2910904300 6.556091e-02
## [1525,] 0.43623913 0.2755194522 5.800410e-02
## [1526,] 0.44435820 0.2275981001 3.885821e-02
## [1527,] 0.21147326 0.4440938538 3.108657e-01
## [1528,] 0.25969672 0.4403553087 2.488965e-01
## [1529,] 0.37500000 0.3750000000 1.250000e-01
## [1530,] 0.41709325 0.1331148669 1.416116e-02
## [1531,] 0.22759810 0.4443581954 2.891855e-01
## [1532,] 0.34037125 0.0654560102 4.195898e-03
## [1533,] 0.37500000 0.3750000000 1.250000e-01
## [1534,] 0.43865597 0.1794501695 2.447048e-02
## [1535,] 0.29364573 0.0435030714 2.148300e-03
## [1536,] 0.16938001 0.0116813803 2.685375e-04
## [1537,] 0.39753197 0.3493462791 1.023338e-01
## [1538,] 0.22759810 0.4443581954 2.891855e-01
## [1539,] 0.44035531 0.2596967205 5.105149e-02
## [1540,] 0.40602867 0.1184250277 1.151354e-02
## [1541,] 0.41633799 0.3211750193 8.258786e-02
## [1542,] 0.44435820 0.2275981001 3.885821e-02
## [1543,] 0.14823269 0.4261689772 4.084119e-01
## [1544,] 0.43865597 0.1794501695 2.447048e-02
## [1545,] 0.19539878 0.4422182874 3.336033e-01
## [1546,] 0.33553758 0.4074384881 1.649156e-01
## [1547,] 0.43865597 0.1794501695 2.447048e-02
## [1548,] 0.44435820 0.2275981001 3.885821e-02
## [1549,] 0.37500000 0.3750000000 1.250000e-01
## [1550,] 0.44308684 0.2436977611 4.467792e-02
## [1551,] 0.37500000 0.3750000000 1.250000e-01
## [1552,] 0.22759810 0.4443581954 2.891855e-01
## [1553,] 0.44435820 0.2275981001 3.885821e-02
## [1554,] 0.34934628 0.3975319727 1.507880e-01
## [1555,] 0.16370296 0.4333313752 3.823512e-01
## [1556,] 0.32117502 0.4163379880 1.798991e-01
## [1557,] 0.26654443 0.0339238361 1.439193e-03
## [1558,] 0.43865597 0.1794501695 2.447048e-02
## [1559,] 0.04683881 0.0007678494 4.195898e-06
## [1560,] 0.39753197 0.3493462791 1.023338e-01
## [1561,] 0.44308684 0.2436977611 4.467792e-02
## [1562,] 0.44409385 0.2114732637 3.356718e-02
## [1563,] 0.16370296 0.4333313752 3.823512e-01
## [1564,] 0.41633799 0.3211750193 8.258786e-02
## [1565,] 0.40602867 0.1184250277 1.151354e-02
## [1566,] 0.44221829 0.1953987782 2.877966e-02
## [1567,] 0.44035531 0.2596967205 5.105149e-02
## [1568,] 0.44435820 0.2275981001 3.885821e-02
## [1569,] 0.44308684 0.2436977611 4.467792e-02
## [1570,] 0.41709325 0.1331148669 1.416116e-02
## [1571,] 0.43333138 0.1637029640 2.061445e-02
## [1572,] 0.16370296 0.4333313752 3.823512e-01
## [1573,] 0.41633799 0.3211750193 8.258786e-02
## [1574,] 0.39289970 0.1042386963 9.218388e-03
## [1575,] 0.11842503 0.4060286664 4.640328e-01
## [1576,] 0.41633799 0.3211750193 8.258786e-02
## [1577,] 0.39753197 0.3493462791 1.023338e-01
## [1578,] 0.43333138 0.1637029640 2.061445e-02
## [1579,] 0.33553758 0.4074384881 1.649156e-01
## [1580,] 0.17945017 0.4386559699 3.574234e-01
## [1581,] 0.39753197 0.3493462791 1.023338e-01
## [1582,] 0.38669397 0.3625255950 1.132892e-01
## [1583,] 0.29109043 0.4308138364 2.125348e-01
## [1584,] 0.14823269 0.4261689772 4.084119e-01
## [1585,] 0.36014652 0.0776786613 5.584740e-03
## [1586,] 0.44035531 0.2596967205 5.105149e-02
## [1587,] 0.24369776 0.4430868383 2.685375e-01
## [1588,] 0.44035531 0.2596967205 5.105149e-02
## [1589,] 0.42616898 0.1482326877 1.718640e-02
## [1590,] 0.43081384 0.2910904300 6.556091e-02
## [1591,] 0.20448709 0.0179374643 5.244873e-04
## [1592,] 0.44308684 0.2436977611 4.467792e-02
## [1593,] 0.40743849 0.3355375785 9.210835e-02
## [1594,] 0.43333138 0.1637029640 2.061445e-02
## [1595,] 0.39753197 0.3493462791 1.023338e-01
## [1596,] 0.42616898 0.1482326877 1.718640e-02
## [1597,] 0.25969672 0.4403553087 2.488965e-01
## [1598,] 0.40602867 0.1184250277 1.151354e-02
## [1599,] 0.29109043 0.4308138364 2.125348e-01
## [1600,] 0.16938001 0.0116813803 2.685375e-04
## [1601,] 0.31822950 0.0540389715 3.058810e-03
## [1602,] 0.42616898 0.1482326877 1.718640e-02
## [1603,] 0.38669397 0.3625255950 1.132892e-01
## [1604,] 0.20448709 0.0179374643 5.244873e-04
## [1605,] 0.43333138 0.1637029640 2.061445e-02
## [1606,] 0.36252559 0.3866939680 1.374912e-01
## [1607,] 0.29109043 0.4308138364 2.125348e-01
## [1608,] 0.39753197 0.3493462791 1.023338e-01
## [1609,] 0.16938001 0.0116813803 2.685375e-04
## [1610,] 0.43623913 0.2755194522 5.800410e-02
## [1611,] 0.39753197 0.3493462791 1.023338e-01
## [1612,] 0.38669397 0.3625255950 1.132892e-01
## [1613,] 0.34037125 0.0654560102 4.195898e-03
## [1614,] 0.37500000 0.3750000000 1.250000e-01
## [1615,] 0.34934628 0.3975319727 1.507880e-01
## [1616,] 0.29109043 0.4308138364 2.125348e-01
## [1617,] 0.37500000 0.3750000000 1.250000e-01
## [1618,] 0.42415495 0.3063341278 7.374710e-02
## [1619,] 0.26654443 0.0339238361 1.439193e-03
## [1620,] 0.03392384 0.2665444262 6.980925e-01
## [1621,] 0.33553758 0.4074384881 1.649156e-01
## [1622,] 0.34037125 0.0654560102 4.195898e-03
## [1623,] 0.34934628 0.3975319727 1.507880e-01
## [1624,] 0.42415495 0.3063341278 7.374710e-02
## [1625,] 0.42415495 0.3063341278 7.374710e-02
## [1626,] 0.36014652 0.0776786613 5.584740e-03
## [1627,] 0.38669397 0.3625255950 1.132892e-01
## [1628,] 0.44308684 0.2436977611 4.467792e-02
## [1629,] 0.38669397 0.3625255950 1.132892e-01
## [1630,] 0.07767866 0.3601465208 5.565901e-01
## [1631,] 0.38669397 0.3625255950 1.132892e-01
## [1632,] 0.03392384 0.2665444262 6.980925e-01
## [1633,] 0.37763083 0.0906313987 7.250512e-03
## [1634,] 0.44035531 0.2596967205 5.105149e-02
## [1635,] 0.38669397 0.3625255950 1.132892e-01
## [1636,] 0.44308684 0.2436977611 4.467792e-02
## [1637,] 0.30633413 0.4241549461 1.957638e-01
## [1638,] 0.41709325 0.1331148669 1.416116e-02
## [1639,] 0.43623913 0.2755194522 5.800410e-02
## [1640,] 0.39289970 0.1042386963 9.218388e-03
## [1641,] 0.42415495 0.3063341278 7.374710e-02
## [1642,] 0.41633799 0.3211750193 8.258786e-02
## [1643,] 0.44308684 0.2436977611 4.467792e-02
## [1644,] 0.04683881 0.0007678494 4.195898e-06
## [1645,] 0.27551945 0.4362391326 2.302373e-01
## [1646,] 0.29109043 0.4308138364 2.125348e-01
## [1647,] 0.22759810 0.4443581954 2.891855e-01
## [1648,] 0.37500000 0.3750000000 1.250000e-01
## [1649,] 0.42616898 0.1482326877 1.718640e-02
## [1650,] 0.39753197 0.3493462791 1.023338e-01
## [1651,] 0.41709325 0.1331148669 1.416116e-02
## [1652,] 0.43333138 0.1637029640 2.061445e-02
## [1653,] 0.44308684 0.2436977611 4.467792e-02
## [1654,] 0.32117502 0.4163379880 1.798991e-01
## [1655,] 0.39753197 0.3493462791 1.023338e-01
## [1656,] 0.41633799 0.3211750193 8.258786e-02
## [1657,] 0.42616898 0.1482326877 1.718640e-02
## [1658,] 0.26654443 0.0339238361 1.439193e-03
## [1659,] 0.27551945 0.4362391326 2.302373e-01
## [1660,] 0.30633413 0.4241549461 1.957638e-01
## [1661,] 0.44035531 0.2596967205 5.105149e-02
## [1662,] 0.40743849 0.3355375785 9.210835e-02
## [1663,] 0.42415495 0.3063341278 7.374710e-02
## [1664,] 0.40743849 0.3355375785 9.210835e-02
## [1665,] 0.44409385 0.2114732637 3.356718e-02
## [1666,] 0.43865597 0.1794501695 2.447048e-02
## [1667,] 0.33553758 0.4074384881 1.649156e-01
## [1668,] 0.44435820 0.2275981001 3.885821e-02
## [1669,] 0.16938001 0.0116813803 2.685375e-04
## [1670,] 0.32117502 0.4163379880 1.798991e-01
## [1671,] 0.43865597 0.1794501695 2.447048e-02
## [1672,] 0.44221829 0.1953987782 2.877966e-02
## [1673,] 0.44308684 0.2436977611 4.467792e-02
## [1674,] 0.34934628 0.3975319727 1.507880e-01
## [1675,] 0.27551945 0.4362391326 2.302373e-01
## [1676,] 0.36252559 0.3866939680 1.374912e-01
## [1677,] 0.38669397 0.3625255950 1.132892e-01
## [1678,] 0.38669397 0.3625255950 1.132892e-01
## [1679,] 0.40602867 0.1184250277 1.151354e-02
## [1680,] 0.37763083 0.0906313987 7.250512e-03
## [1681,] 0.37763083 0.0906313987 7.250512e-03
## [1682,] 0.41709325 0.1331148669 1.416116e-02
## [1683,] 0.27551945 0.4362391326 2.302373e-01
## [1684,] 0.40743849 0.3355375785 9.210835e-02
## [1685,] 0.37500000 0.3750000000 1.250000e-01
## [1686,] 0.23685006 0.0253767916 9.063140e-04
## [1687,] 0.32117502 0.4163379880 1.798991e-01
## [1688,] 0.42616898 0.1482326877 1.718640e-02
## [1689,] 0.27551945 0.4362391326 2.302373e-01
## [1690,] 0.38669397 0.3625255950 1.132892e-01
## [1691,] 0.39753197 0.3493462791 1.023338e-01
## [1692,] 0.33553758 0.4074384881 1.649156e-01
## [1693,] 0.44308684 0.2436977611 4.467792e-02
## [1694,] 0.44308684 0.2436977611 4.467792e-02
## [1695,] 0.16938001 0.0116813803 2.685375e-04
## [1696,] 0.38669397 0.3625255950 1.132892e-01
## [1697,] 0.40743849 0.3355375785 9.210835e-02
## [1698,] 0.42616898 0.1482326877 1.718640e-02
## [1699,] 0.40602867 0.1184250277 1.151354e-02
## [1700,] 0.32117502 0.4163379880 1.798991e-01
## [1701,] 0.40602867 0.1184250277 1.151354e-02
## [1702,] 0.44435820 0.2275981001 3.885821e-02
## [1703,] 0.34934628 0.3975319727 1.507880e-01
## [1704,] 0.11842503 0.4060286664 4.640328e-01
## [1705,] 0.44308684 0.2436977611 4.467792e-02
## [1706,] 0.33553758 0.4074384881 1.649156e-01
## [1707,] 0.43865597 0.1794501695 2.447048e-02
## [1708,] 0.39753197 0.3493462791 1.023338e-01
## [1709,] 0.37500000 0.3750000000 1.250000e-01
## [1710,] 0.32117502 0.4163379880 1.798991e-01
## [1711,] 0.11842503 0.4060286664 4.640328e-01
## [1712,] 0.41709325 0.1331148669 1.416116e-02
## [1713,] 0.24369776 0.4430868383 2.685375e-01
## [1714,] 0.44035531 0.2596967205 5.105149e-02
## [1715,] 0.30633413 0.4241549461 1.957638e-01
## [1716,] 0.29364573 0.0435030714 2.148300e-03
## [1717,] 0.23685006 0.0253767916 9.063140e-04
## [1718,] 0.17945017 0.4386559699 3.574234e-01
## [1719,] 0.16370296 0.4333313752 3.823512e-01
## [1720,] 0.29364573 0.0435030714 2.148300e-03
## [1721,] 0.20448709 0.0179374643 5.244873e-04
## [1722,] 0.39289970 0.1042386963 9.218388e-03
## [1723,] 0.43081384 0.2910904300 6.556091e-02
## [1724,] 0.38669397 0.3625255950 1.132892e-01
## [1725,] 0.41633799 0.3211750193 8.258786e-02
## [1726,] 0.38669397 0.3625255950 1.132892e-01
## [1727,] 0.16370296 0.4333313752 3.823512e-01
## [1728,] 0.07767866 0.3601465208 5.565901e-01
## [1729,] 0.39289970 0.1042386963 9.218388e-03
## [1730,] 0.44409385 0.2114732637 3.356718e-02
## [1731,] 0.43081384 0.2910904300 6.556091e-02
## [1732,] 0.04683881 0.0007678494 4.195898e-06
## [1733,] 0.29364573 0.0435030714 2.148300e-03
## [1734,] 0.44221829 0.1953987782 2.877966e-02
## [1735,] 0.37763083 0.0906313987 7.250512e-03
## [1736,] 0.13311487 0.4170932496 4.356307e-01
## [1737,] 0.30633413 0.4241549461 1.957638e-01
## [1738,] 0.27551945 0.4362391326 2.302373e-01
## [1739,] 0.38669397 0.3625255950 1.132892e-01
## [1740,] 0.44221829 0.1953987782 2.877966e-02
## [1741,] 0.40743849 0.3355375785 9.210835e-02
## [1742,] 0.44221829 0.1953987782 2.877966e-02
## [1743,] 0.24369776 0.4430868383 2.685375e-01
## [1744,] 0.33553758 0.4074384881 1.649156e-01
## [1745,] 0.41633799 0.3211750193 8.258786e-02
## [1746,] 0.34934628 0.3975319727 1.507880e-01
## [1747,] 0.36252559 0.3866939680 1.374912e-01
## [1748,] 0.43623913 0.2755194522 5.800410e-02
## [1749,] 0.40743849 0.3355375785 9.210835e-02
## [1750,] 0.43081384 0.2910904300 6.556091e-02
## [1751,] 0.39753197 0.3493462791 1.023338e-01
## [1752,] 0.42415495 0.3063341278 7.374710e-02
## [1753,] 0.43865597 0.1794501695 2.447048e-02
## [1754,] 0.36014652 0.0776786613 5.584740e-03
## [1755,] 0.44308684 0.2436977611 4.467792e-02
## [1756,] 0.09063140 0.0030210466 3.356718e-05
## [1757,] 0.40602867 0.1184250277 1.151354e-02
## [1758,] 0.34037125 0.0654560102 4.195898e-03
## [1759,] 0.44035531 0.2596967205 5.105149e-02
## [1760,] 0.30633413 0.4241549461 1.957638e-01
## [1761,] 0.04683881 0.0007678494 4.195898e-06
## [1762,] 0.22759810 0.4443581954 2.891855e-01
## [1763,] 0.37763083 0.0906313987 7.250512e-03
## [1764,] 0.23685006 0.0253767916 9.063140e-04
## [1765,] 0.29364573 0.0435030714 2.148300e-03
## [1766,] 0.44435820 0.2275981001 3.885821e-02
## [1767,] 0.38669397 0.3625255950 1.132892e-01
## [1768,] 0.43623913 0.2755194522 5.800410e-02
## [1769,] 0.42415495 0.3063341278 7.374710e-02
## [1770,] 0.26654443 0.0339238361 1.439193e-03
## [1771,] 0.40743849 0.3355375785 9.210835e-02
## [1772,] 0.33553758 0.4074384881 1.649156e-01
## [1773,] 0.41709325 0.1331148669 1.416116e-02
## [1774,] 0.44409385 0.2114732637 3.356718e-02
## [1775,] 0.36014652 0.0776786613 5.584740e-03
## [1776,] 0.25969672 0.4403553087 2.488965e-01
## [1777,] 0.36252559 0.3866939680 1.374912e-01
## [1778,] 0.20448709 0.0179374643 5.244873e-04
## [1779,] 0.40743849 0.3355375785 9.210835e-02
## [1780,] 0.19539878 0.4422182874 3.336033e-01
## [1781,] 0.22759810 0.4443581954 2.891855e-01
## [1782,] 0.25969672 0.4403553087 2.488965e-01
## [1783,] 0.26654443 0.0339238361 1.439193e-03
## [1784,] 0.33553758 0.4074384881 1.649156e-01
## [1785,] 0.42415495 0.3063341278 7.374710e-02
## [1786,] 0.44308684 0.2436977611 4.467792e-02
## [1787,] 0.43081384 0.2910904300 6.556091e-02
## [1788,] 0.34934628 0.3975319727 1.507880e-01
## [1789,] 0.43623913 0.2755194522 5.800410e-02
## [1790,] 0.34037125 0.0654560102 4.195898e-03
## [1791,] 0.30633413 0.4241549461 1.957638e-01
## [1792,] 0.42616898 0.1482326877 1.718640e-02
## [1793,] 0.36252559 0.3866939680 1.374912e-01
## [1794,] 0.43865597 0.1794501695 2.447048e-02
## [1795,] 0.05403897 0.3182294988 6.246727e-01
## [1796,] 0.39289970 0.1042386963 9.218388e-03
## [1797,] 0.09063140 0.0030210466 3.356718e-05
## [1798,] 0.20448709 0.0179374643 5.244873e-04
## [1799,] 0.44035531 0.2596967205 5.105149e-02
## [1800,] 0.31822950 0.0540389715 3.058810e-03
## [1801,] 0.36014652 0.0776786613 5.584740e-03
## [1802,] 0.44035531 0.2596967205 5.105149e-02
## [1803,] 0.44035531 0.2596967205 5.105149e-02
## [1804,] 0.16938001 0.0116813803 2.685375e-04
## [1805,] 0.44435820 0.2275981001 3.885821e-02
## [1806,] 0.37500000 0.3750000000 1.250000e-01
## [1807,] 0.44409385 0.2114732637 3.356718e-02
## [1808,] 0.29109043 0.4308138364 2.125348e-01
## [1809,] 0.33553758 0.4074384881 1.649156e-01
## [1810,] 0.37763083 0.0906313987 7.250512e-03
## [1811,] 0.27551945 0.4362391326 2.302373e-01
## [1812,] 0.40743849 0.3355375785 9.210835e-02
## [1813,] 0.43081384 0.2910904300 6.556091e-02
## [1814,] 0.09063140 0.3776308281 5.244873e-01
## [1815,] 0.33553758 0.4074384881 1.649156e-01
## [1816,] 0.44435820 0.2275981001 3.885821e-02
## [1817,] 0.11842503 0.4060286664 4.640328e-01
## [1818,] 0.37763083 0.0906313987 7.250512e-03
## [1819,] 0.37763083 0.0906313987 7.250512e-03
## [1820,] 0.30633413 0.4241549461 1.957638e-01
## [1821,] 0.32117502 0.4163379880 1.798991e-01
## [1822,] 0.39289970 0.1042386963 9.218388e-03
## [1823,] 0.00000000 0.0000000000 0.000000e+00
## [1824,] 0.44435820 0.2275981001 3.885821e-02
## [1825,] 0.44308684 0.2436977611 4.467792e-02
## [1826,] 0.44221829 0.1953987782 2.877966e-02
## [1827,] 0.23685006 0.0253767916 9.063140e-04
## [1828,] 0.31822950 0.0540389715 3.058810e-03
## [1829,] 0.42415495 0.3063341278 7.374710e-02
## [1830,] 0.40743849 0.3355375785 9.210835e-02
## [1831,] 0.44308684 0.2436977611 4.467792e-02
## [1832,] 0.44435820 0.2275981001 3.885821e-02
## [1833,] 0.43623913 0.2755194522 5.800410e-02
## [1834,] 0.44221829 0.1953987782 2.877966e-02
## [1835,] 0.24369776 0.4430868383 2.685375e-01
## [1836,] 0.44308684 0.2436977611 4.467792e-02
## [1837,] 0.31822950 0.0540389715 3.058810e-03
## [1838,] 0.39289970 0.1042386963 9.218388e-03
## [1839,] 0.44409385 0.2114732637 3.356718e-02
## [1840,] 0.42616898 0.1482326877 1.718640e-02
## [1841,] 0.44035531 0.2596967205 5.105149e-02
## [1842,] 0.09063140 0.0030210466 3.356718e-05
## [1843,] 0.34037125 0.0654560102 4.195898e-03
## [1844,] 0.41709325 0.1331148669 1.416116e-02
## [1845,] 0.43081384 0.2910904300 6.556091e-02
## [1846,] 0.29109043 0.4308138364 2.125348e-01
## [1847,] 0.44221829 0.1953987782 2.877966e-02
## [1848,] 0.26654443 0.0339238361 1.439193e-03
## [1849,] 0.41633799 0.3211750193 8.258786e-02
## [1850,] 0.44308684 0.2436977611 4.467792e-02
## [1851,] 0.43081384 0.2910904300 6.556091e-02
## [1852,] 0.44409385 0.2114732637 3.356718e-02
## [1853,] 0.42415495 0.3063341278 7.374710e-02
## [1854,] 0.04683881 0.0007678494 4.195898e-06
## [1855,] 0.29364573 0.0435030714 2.148300e-03
## [1856,] 0.30633413 0.4241549461 1.957638e-01
## [1857,] 0.37500000 0.3750000000 1.250000e-01
## [1858,] 0.43333138 0.1637029640 2.061445e-02
## [1859,] 0.42616898 0.1482326877 1.718640e-02
## [1860,] 0.21147326 0.4440938538 3.108657e-01
## [1861,] 0.39289970 0.1042386963 9.218388e-03
## [1862,] 0.39753197 0.3493462791 1.023338e-01
## [1863,] 0.38669397 0.3625255950 1.132892e-01
## [1864,] 0.38669397 0.3625255950 1.132892e-01
## [1865,] 0.43333138 0.1637029640 2.061445e-02
## [1866,] 0.29109043 0.4308138364 2.125348e-01
## [1867,] 0.43333138 0.1637029640 2.061445e-02
## [1868,] 0.44221829 0.1953987782 2.877966e-02
## [1869,] 0.33553758 0.4074384881 1.649156e-01
## [1870,] 0.39753197 0.3493462791 1.023338e-01
## [1871,] 0.29364573 0.0435030714 2.148300e-03
## [1872,] 0.44035531 0.2596967205 5.105149e-02
## [1873,] 0.16938001 0.0116813803 2.685375e-04
## [1874,] 0.01168138 0.1693800141 8.186701e-01
## [1875,] 0.40743849 0.3355375785 9.210835e-02
## [1876,] 0.44435820 0.2275981001 3.885821e-02
## [1877,] 0.44435820 0.2275981001 3.885821e-02
## [1878,] 0.20448709 0.0179374643 5.244873e-04
## [1879,] 0.37500000 0.3750000000 1.250000e-01
## [1880,] 0.09063140 0.0030210466 3.356718e-05
## [1881,] 0.40743849 0.3355375785 9.210835e-02
## [1882,] 0.43081384 0.2910904300 6.556091e-02
## [1883,] 0.16370296 0.4333313752 3.823512e-01
## [1884,] 0.42415495 0.3063341278 7.374710e-02
## [1885,] 0.24369776 0.4430868383 2.685375e-01
## [1886,] 0.36252559 0.3866939680 1.374912e-01
## [1887,] 0.43333138 0.1637029640 2.061445e-02
## [1888,] 0.44409385 0.2114732637 3.356718e-02
## [1889,] 0.43865597 0.1794501695 2.447048e-02
## [1890,] 0.27551945 0.4362391326 2.302373e-01
## [1891,] 0.29364573 0.0435030714 2.148300e-03
## [1892,] 0.29364573 0.0435030714 2.148300e-03
## [1893,] 0.39753197 0.3493462791 1.023338e-01
## [1894,] 0.26654443 0.0339238361 1.439193e-03
## [1895,] 0.25969672 0.4403553087 2.488965e-01
## [1896,] 0.42415495 0.3063341278 7.374710e-02
## [1897,] 0.36014652 0.0776786613 5.584740e-03
## [1898,] 0.44221829 0.1953987782 2.877966e-02
## [1899,] 0.10423870 0.3928997013 4.936432e-01
## [1900,] 0.42616898 0.1482326877 1.718640e-02
## [1901,] 0.44409385 0.2114732637 3.356718e-02
## [1902,] 0.29109043 0.4308138364 2.125348e-01
## [1903,] 0.31822950 0.0540389715 3.058810e-03
## [1904,] 0.29109043 0.4308138364 2.125348e-01
## [1905,] 0.37500000 0.3750000000 1.250000e-01
## [1906,] 0.43623913 0.2755194522 5.800410e-02
## [1907,] 0.44435820 0.2275981001 3.885821e-02
## [1908,] 0.40602867 0.1184250277 1.151354e-02
## [1909,] 0.44435820 0.2275981001 3.885821e-02
## [1910,] 0.36252559 0.3866939680 1.374912e-01
## [1911,] 0.44308684 0.2436977611 4.467792e-02
## [1912,] 0.32117502 0.4163379880 1.798991e-01
## [1913,] 0.30633413 0.4241549461 1.957638e-01
## [1914,] 0.34934628 0.3975319727 1.507880e-01
## [1915,] 0.41709325 0.1331148669 1.416116e-02
## [1916,] 0.37763083 0.0906313987 7.250512e-03
## [1917,] 0.44308684 0.2436977611 4.467792e-02
## [1918,] 0.37500000 0.3750000000 1.250000e-01
## [1919,] 0.42415495 0.3063341278 7.374710e-02
## [1920,] 0.40602867 0.1184250277 1.151354e-02
## [1921,] 0.42616898 0.1482326877 1.718640e-02
## [1922,] 0.43865597 0.1794501695 2.447048e-02
## [1923,] 0.34934628 0.3975319727 1.507880e-01
## [1924,] 0.43623913 0.2755194522 5.800410e-02
## [1925,] 0.21147326 0.4440938538 3.108657e-01
## [1926,] 0.43865597 0.1794501695 2.447048e-02
## [1927,] 0.39753197 0.3493462791 1.023338e-01
## [1928,] 0.21147326 0.4440938538 3.108657e-01
## [1929,] 0.16938001 0.0116813803 2.685375e-04
## [1930,] 0.27551945 0.4362391326 2.302373e-01
## [1931,] 0.41633799 0.3211750193 8.258786e-02
## [1932,] 0.33553758 0.4074384881 1.649156e-01
## [1933,] 0.37763083 0.0906313987 7.250512e-03
## [1934,] 0.20448709 0.0179374643 5.244873e-04
## [1935,] 0.38669397 0.3625255950 1.132892e-01
## [1936,] 0.42415495 0.3063341278 7.374710e-02
## [1937,] 0.17945017 0.4386559699 3.574234e-01
## [1938,] 0.41709325 0.1331148669 1.416116e-02
## [1939,] 0.34934628 0.3975319727 1.507880e-01
## [1940,] 0.34934628 0.3975319727 1.507880e-01
## [1941,] 0.39753197 0.3493462791 1.023338e-01
## [1942,] 0.42616898 0.1482326877 1.718640e-02
## [1943,] 0.43081384 0.2910904300 6.556091e-02
## [1944,] 0.22759810 0.4443581954 2.891855e-01
## [1945,] 0.32117502 0.4163379880 1.798991e-01
## [1946,] 0.40602867 0.1184250277 1.151354e-02
## [1947,] 0.38669397 0.3625255950 1.132892e-01
## [1948,] 0.44221829 0.1953987782 2.877966e-02
## [1949,] 0.09063140 0.0030210466 3.356718e-05
## [1950,] 0.40602867 0.1184250277 1.151354e-02
## [1951,] 0.44308684 0.2436977611 4.467792e-02
## [1952,] 0.38669397 0.3625255950 1.132892e-01
## [1953,] 0.27551945 0.4362391326 2.302373e-01
## [1954,] 0.29109043 0.4308138364 2.125348e-01
## [1955,] 0.44409385 0.2114732637 3.356718e-02
## [1956,] 0.33553758 0.4074384881 1.649156e-01
## [1957,] 0.36014652 0.0776786613 5.584740e-03
## [1958,] 0.41633799 0.3211750193 8.258786e-02
## [1959,] 0.36252559 0.3866939680 1.374912e-01
## [1960,] 0.36252559 0.3866939680 1.374912e-01
## [1961,] 0.25969672 0.4403553087 2.488965e-01
## [1962,] 0.37763083 0.0906313987 7.250512e-03
## [1963,] 0.27551945 0.4362391326 2.302373e-01
## [1964,] 0.43081384 0.2910904300 6.556091e-02
## [1965,] 0.43081384 0.2910904300 6.556091e-02
## [1966,] 0.36252559 0.3866939680 1.374912e-01
## [1967,] 0.34934628 0.3975319727 1.507880e-01
## [1968,] 0.30633413 0.4241549461 1.957638e-01
## [1969,] 0.29109043 0.4308138364 2.125348e-01
## [1970,] 0.41633799 0.3211750193 8.258786e-02
## [1971,] 0.30633413 0.4241549461 1.957638e-01
## [1972,] 0.20448709 0.0179374643 5.244873e-04
## [1973,] 0.02537679 0.2368500554 7.368668e-01
## [1974,] 0.26654443 0.0339238361 1.439193e-03
## [1975,] 0.41633799 0.3211750193 8.258786e-02
## [1976,] 0.29109043 0.4308138364 2.125348e-01
## [1977,] 0.11842503 0.4060286664 4.640328e-01
## [1978,] 0.39753197 0.3493462791 1.023338e-01
## [1979,] 0.43865597 0.1794501695 2.447048e-02
## [1980,] 0.16370296 0.4333313752 3.823512e-01
## [1981,] 0.42415495 0.3063341278 7.374710e-02
## [1982,] 0.44221829 0.1953987782 2.877966e-02
## [1983,] 0.40602867 0.1184250277 1.151354e-02
## [1984,] 0.43081384 0.2910904300 6.556091e-02
## [1985,] 0.44221829 0.1953987782 2.877966e-02
## [1986,] 0.44435820 0.2275981001 3.885821e-02
## [1987,] 0.41633799 0.3211750193 8.258786e-02
## [1988,] 0.34934628 0.3975319727 1.507880e-01
## [1989,] 0.33553758 0.4074384881 1.649156e-01
## [1990,] 0.43081384 0.2910904300 6.556091e-02
## [1991,] 0.33553758 0.4074384881 1.649156e-01
## [1992,] 0.30633413 0.4241549461 1.957638e-01
## [1993,] 0.34037125 0.0654560102 4.195898e-03
## [1994,] 0.34037125 0.0654560102 4.195898e-03
## [1995,] 0.03392384 0.2665444262 6.980925e-01
## [1996,] 0.39289970 0.1042386963 9.218388e-03
## [1997,] 0.36014652 0.0776786613 5.584740e-03
## [1998,] 0.44308684 0.2436977611 4.467792e-02
## [1999,] 0.43623913 0.2755194522 5.800410e-02
## [2000,] 0.44308684 0.2436977611 4.467792e-02
## [2001,] 0.39753197 0.3493462791 1.023338e-01
## [2002,] 0.10423870 0.3928997013 4.936432e-01
## [2003,] 0.44308684 0.2436977611 4.467792e-02
## [2004,] 0.41709325 0.1331148669 1.416116e-02
## [2005,] 0.40602867 0.1184250277 1.151354e-02
## [2006,] 0.31822950 0.0540389715 3.058810e-03
## [2007,] 0.43865597 0.1794501695 2.447048e-02
## [2008,] 0.38669397 0.3625255950 1.132892e-01
## [2009,] 0.27551945 0.4362391326 2.302373e-01
## [2010,] 0.23685006 0.0253767916 9.063140e-04
## [2011,] 0.32117502 0.4163379880 1.798991e-01
## [2012,] 0.19539878 0.4422182874 3.336033e-01
## [2013,] 0.44409385 0.2114732637 3.356718e-02
## [2014,] 0.06545601 0.3403712531 5.899768e-01
## [2015,] 0.23685006 0.0253767916 9.063140e-04
## [2016,] 0.16938001 0.0116813803 2.685375e-04
## [2017,] 0.44409385 0.2114732637 3.356718e-02
## [2018,] 0.36014652 0.0776786613 5.584740e-03
## [2019,] 0.37763083 0.0906313987 7.250512e-03
## [2020,] 0.37500000 0.3750000000 1.250000e-01
## [2021,] 0.44308684 0.2436977611 4.467792e-02
## [2022,] 0.40602867 0.1184250277 1.151354e-02
## [2023,] 0.41709325 0.1331148669 1.416116e-02
## [2024,] 0.44308684 0.2436977611 4.467792e-02
## [2025,] 0.26654443 0.0339238361 1.439193e-03
## [2026,] 0.43865597 0.1794501695 2.447048e-02
## [2027,] 0.40743849 0.3355375785 9.210835e-02
## [2028,] 0.43623913 0.2755194522 5.800410e-02
## [2029,] 0.22759810 0.4443581954 2.891855e-01
## [2030,] 0.37763083 0.0906313987 7.250512e-03
## [2031,] 0.30633413 0.4241549461 1.957638e-01
## [2032,] 0.39289970 0.1042386963 9.218388e-03
## [2033,] 0.42616898 0.1482326877 1.718640e-02
## [2034,] 0.39753197 0.3493462791 1.023338e-01
## [2035,] 0.44308684 0.2436977611 4.467792e-02
## [2036,] 0.36014652 0.0776786613 5.584740e-03
## [2037,] 0.24369776 0.4430868383 2.685375e-01
## [2038,] 0.44035531 0.2596967205 5.105149e-02
## [2039,] 0.27551945 0.4362391326 2.302373e-01
## [2040,] 0.44221829 0.1953987782 2.877966e-02
## [2041,] 0.37763083 0.0906313987 7.250512e-03
## [2042,] 0.44308684 0.2436977611 4.467792e-02
## [2043,] 0.30633413 0.4241549461 1.957638e-01
## [2044,] 0.44221829 0.1953987782 2.877966e-02
## [2045,] 0.44435820 0.2275981001 3.885821e-02
## [2046,] 0.34934628 0.3975319727 1.507880e-01
## [2047,] 0.39753197 0.3493462791 1.023338e-01
## [2048,] 0.34037125 0.0654560102 4.195898e-03
## [2049,] 0.13311487 0.4170932496 4.356307e-01
## [2050,] 0.43623913 0.2755194522 5.800410e-02
## [2051,] 0.24369776 0.4430868383 2.685375e-01
## [2052,] 0.40602867 0.1184250277 1.151354e-02
## [2053,] 0.44435820 0.2275981001 3.885821e-02
## [2054,] 0.44409385 0.2114732637 3.356718e-02
## [2055,] 0.38669397 0.3625255950 1.132892e-01
## [2056,] 0.39753197 0.3493462791 1.023338e-01
## [2057,] 0.44308684 0.2436977611 4.467792e-02
## [2058,] 0.43623913 0.2755194522 5.800410e-02
## [2059,] 0.37763083 0.0906313987 7.250512e-03
## [2060,] 0.36014652 0.0776786613 5.584740e-03
## [2061,] 0.32117502 0.4163379880 1.798991e-01
## [2062,] 0.44221829 0.1953987782 2.877966e-02
## [2063,] 0.38669397 0.3625255950 1.132892e-01
## [2064,] 0.42415495 0.3063341278 7.374710e-02
## [2065,] 0.26654443 0.0339238361 1.439193e-03
## [2066,] 0.34934628 0.3975319727 1.507880e-01
## [2067,] 0.26654443 0.0339238361 1.439193e-03
## [2068,] 0.36252559 0.3866939680 1.374912e-01
## [2069,] 0.42616898 0.1482326877 1.718640e-02
## [2070,] 0.44308684 0.2436977611 4.467792e-02
## [2071,] 0.42616898 0.1482326877 1.718640e-02
## [2072,] 0.25969672 0.4403553087 2.488965e-01
## [2073,] 0.43623913 0.2755194522 5.800410e-02
## [2074,] 0.37763083 0.0906313987 7.250512e-03
## [2075,] 0.44221829 0.1953987782 2.877966e-02
## [2076,] 0.36252559 0.3866939680 1.374912e-01
## [2077,] 0.29364573 0.0435030714 2.148300e-03
## [2078,] 0.22759810 0.4443581954 2.891855e-01
## [2079,] 0.36014652 0.0776786613 5.584740e-03
## [2080,] 0.16938001 0.0116813803 2.685375e-04
## [2081,] 0.30633413 0.4241549461 1.957638e-01
## [2082,] 0.40743849 0.3355375785 9.210835e-02
## [2083,] 0.34934628 0.3975319727 1.507880e-01
## [2084,] 0.43333138 0.1637029640 2.061445e-02
## [2085,] 0.19539878 0.4422182874 3.336033e-01
## [2086,] 0.44308684 0.2436977611 4.467792e-02
## [2087,] 0.33553758 0.4074384881 1.649156e-01
## [2088,] 0.44308684 0.2436977611 4.467792e-02
## [2089,] 0.27551945 0.4362391326 2.302373e-01
## [2090,] 0.44435820 0.2275981001 3.885821e-02
## [2091,] 0.37763083 0.0906313987 7.250512e-03
## [2092,] 0.41709325 0.1331148669 1.416116e-02
## [2093,] 0.40602867 0.1184250277 1.151354e-02
## [2094,] 0.36252559 0.3866939680 1.374912e-01
## [2095,] 0.29364573 0.0435030714 2.148300e-03
## [2096,] 0.43333138 0.1637029640 2.061445e-02
## [2097,] 0.39289970 0.1042386963 9.218388e-03
## [2098,] 0.42415495 0.3063341278 7.374710e-02
## [2099,] 0.37763083 0.0906313987 7.250512e-03
## [2100,] 0.31822950 0.0540389715 3.058810e-03
## [2101,] 0.31822950 0.0540389715 3.058810e-03
## [2102,] 0.29109043 0.4308138364 2.125348e-01
## attr(,"degree")
## [1] 3
## attr(,"knots")
## numeric(0)
## attr(,"Boundary.knots")
## [1] 18 80
## attr(,"intercept")
## [1] FALSE
## attr(,"class")
## [1] "bs"     "basis"  "matrix"

    Fitting curves with splines

    lm1<-lm(wage~bsBasis,data=training)
plot(training$age,training$wage,pch=19,cex=0.5)
points(training$age,predict(lm1,newdata=training),col="red",pch=19,cex=0.5)

    #### splines on the test set. Note that we are using the same bsBasis as is created in the training dataset

    predict(bsBasis,age=testing$age)
    ##                  1            2            3
##    [1,] 0.00000000 0.0000000000 0.000000e+00
##    [2,] 0.23685006 0.0253767916 9.063140e-04
##    [3,] 0.41633799 0.3211750193 8.258786e-02
##    [4,] 0.43081384 0.2910904300 6.556091e-02
##    [5,] 0.36252559 0.3866939680 1.374912e-01
##    [6,] 0.30633413 0.4241549461 1.957638e-01
##    [7,] 0.41633799 0.3211750193 8.258786e-02
##    [8,] 0.42616898 0.1482326877 1.718640e-02
##    [9,] 0.43333138 0.1637029640 2.061445e-02
##   [10,] 0.44435820 0.2275981001 3.885821e-02
##   [11,] 0.30633413 0.4241549461 1.957638e-01
##   [12,] 0.34934628 0.3975319727 1.507880e-01
##   [13,] 0.44221829 0.1953987782 2.877966e-02
##   [14,] 0.36252559 0.3866939680 1.374912e-01
##   [15,] 0.44221829 0.1953987782 2.877966e-02
##   [16,] 0.44409385 0.2114732637 3.356718e-02
##   [17,] 0.44308684 0.2436977611 4.467792e-02
##   [18,] 0.01793746 0.2044870934 7.770510e-01
##   [19,] 0.44308684 0.2436977611 4.467792e-02
##   [20,] 0.42616898 0.1482326877 1.718640e-02
##   [21,] 0.00000000 0.0000000000 0.000000e+00
##   [22,] 0.41709325 0.1331148669 1.416116e-02
##   [23,] 0.42616898 0.1482326877 1.718640e-02
##   [24,] 0.43865597 0.1794501695 2.447048e-02
##   [25,] 0.27551945 0.4362391326 2.302373e-01
##   [26,] 0.06545601 0.3403712531 5.899768e-01
##   [27,] 0.40602867 0.1184250277 1.151354e-02
##   [28,] 0.31822950 0.0540389715 3.058810e-03
##   [29,] 0.34037125 0.0654560102 4.195898e-03
##   [30,] 0.31822950 0.0540389715 3.058810e-03
##   [31,] 0.36252559 0.3866939680 1.374912e-01
##   [32,] 0.44435820 0.2275981001 3.885821e-02
##   [33,] 0.33553758 0.4074384881 1.649156e-01
##   [34,] 0.43333138 0.1637029640 2.061445e-02
##   [35,] 0.25969672 0.4403553087 2.488965e-01
##   [36,] 0.26654443 0.0339238361 1.439193e-03
##   [37,] 0.41709325 0.1331148669 1.416116e-02
##   [38,] 0.25969672 0.4403553087 2.488965e-01
##   [39,] 0.20448709 0.0179374643 5.244873e-04
##   [40,] 0.22759810 0.4443581954 2.891855e-01
##   [41,] 0.42616898 0.1482326877 1.718640e-02
##   [42,] 0.44035531 0.2596967205 5.105149e-02
##   [43,] 0.38669397 0.3625255950 1.132892e-01
##   [44,] 0.37500000 0.3750000000 1.250000e-01
##   [45,] 0.43623913 0.2755194522 5.800410e-02
##   [46,] 0.44221829 0.1953987782 2.877966e-02
##   [47,] 0.29109043 0.4308138364 2.125348e-01
##   [48,] 0.13145329 0.0066840657 1.132892e-04
##   [49,] 0.24369776 0.4430868383 2.685375e-01
##   [50,] 0.39289970 0.1042386963 9.218388e-03
##   [51,] 0.40602867 0.1184250277 1.151354e-02
##   [52,] 0.44308684 0.2436977611 4.467792e-02
##   [53,] 0.42415495 0.3063341278 7.374710e-02
##   [54,] 0.20448709 0.0179374643 5.244873e-04
##   [55,] 0.16370296 0.4333313752 3.823512e-01
##   [56,] 0.42415495 0.3063341278 7.374710e-02
##   [57,] 0.39753197 0.3493462791 1.023338e-01
##   [58,] 0.19539878 0.4422182874 3.336033e-01
##   [59,] 0.29109043 0.4308138364 2.125348e-01
##   [60,] 0.26654443 0.0339238361 1.439193e-03
##   [61,] 0.42616898 0.1482326877 1.718640e-02
##   [62,] 0.32117502 0.4163379880 1.798991e-01
##   [63,] 0.32117502 0.4163379880 1.798991e-01
##   [64,] 0.06545601 0.3403712531 5.899768e-01
##   [65,] 0.39753197 0.3493462791 1.023338e-01
##   [66,] 0.41709325 0.1331148669 1.416116e-02
##   [67,] 0.02537679 0.2368500554 7.368668e-01
##   [68,] 0.44308684 0.2436977611 4.467792e-02
##   [69,] 0.41709325 0.1331148669 1.416116e-02
##   [70,] 0.44221829 0.1953987782 2.877966e-02
##   [71,] 0.42616898 0.1482326877 1.718640e-02
##   [72,] 0.36252559 0.3866939680 1.374912e-01
##   [73,] 0.40743849 0.3355375785 9.210835e-02
##   [74,] 0.44035531 0.2596967205 5.105149e-02
##   [75,] 0.16370296 0.4333313752 3.823512e-01
##   [76,] 0.43333138 0.1637029640 2.061445e-02
##   [77,] 0.36014652 0.0776786613 5.584740e-03
##   [78,] 0.44221829 0.1953987782 2.877966e-02
##   [79,] 0.43623913 0.2755194522 5.800410e-02
##   [80,] 0.37500000 0.3750000000 1.250000e-01
##   [81,] 0.43623913 0.2755194522 5.800410e-02
##   [82,] 0.43081384 0.2910904300 6.556091e-02
##   [83,] 0.44409385 0.2114732637 3.356718e-02
##   [84,] 0.22759810 0.4443581954 2.891855e-01
##   [85,] 0.25969672 0.4403553087 2.488965e-01
##   [86,] 0.19539878 0.4422182874 3.336033e-01
##   [87,] 0.37500000 0.3750000000 1.250000e-01
##   [88,] 0.33553758 0.4074384881 1.649156e-01
##   [89,] 0.43081384 0.2910904300 6.556091e-02
##   [90,] 0.13145329 0.0066840657 1.132892e-04
##   [91,] 0.19539878 0.4422182874 3.336033e-01
##   [92,] 0.40602867 0.1184250277 1.151354e-02
##   [93,] 0.43333138 0.1637029640 2.061445e-02
##   [94,] 0.29364573 0.0435030714 2.148300e-03
##   [95,] 0.40602867 0.1184250277 1.151354e-02
##   [96,] 0.44221829 0.1953987782 2.877966e-02
##   [97,] 0.16938001 0.0116813803 2.685375e-04
##   [98,] 0.34934628 0.3975319727 1.507880e-01
##   [99,] 0.42415495 0.3063341278 7.374710e-02
##  [100,] 0.43333138 0.1637029640 2.061445e-02
##  [101,] 0.44308684 0.2436977611 4.467792e-02
##  [102,] 0.43333138 0.1637029640 2.061445e-02
##  [103,] 0.43333138 0.1637029640 2.061445e-02
##  [104,] 0.43081384 0.2910904300 6.556091e-02
##  [105,] 0.21147326 0.4440938538 3.108657e-01
##  [106,] 0.44409385 0.2114732637 3.356718e-02
##  [107,] 0.32117502 0.4163379880 1.798991e-01
##  [108,] 0.25969672 0.4403553087 2.488965e-01
##  [109,] 0.14823269 0.4261689772 4.084119e-01
##  [110,] 0.43081384 0.2910904300 6.556091e-02
##  [111,] 0.43333138 0.1637029640 2.061445e-02
##  [112,] 0.30633413 0.4241549461 1.957638e-01
##  [113,] 0.24369776 0.4430868383 2.685375e-01
##  [114,] 0.40743849 0.3355375785 9.210835e-02
##  [115,] 0.29109043 0.4308138364 2.125348e-01
##  [116,] 0.34934628 0.3975319727 1.507880e-01
##  [117,] 0.42616898 0.1482326877 1.718640e-02
##  [118,] 0.44308684 0.2436977611 4.467792e-02
##  [119,] 0.36252559 0.3866939680 1.374912e-01
##  [120,] 0.33553758 0.4074384881 1.649156e-01
##  [121,] 0.36252559 0.3866939680 1.374912e-01
##  [122,] 0.31822950 0.0540389715 3.058810e-03
##  [123,] 0.44435820 0.2275981001 3.885821e-02
##  [124,] 0.44435820 0.2275981001 3.885821e-02
##  [125,] 0.39289970 0.1042386963 9.218388e-03
##  [126,] 0.37763083 0.0906313987 7.250512e-03
##  [127,] 0.31822950 0.0540389715 3.058810e-03
##  [128,] 0.44308684 0.2436977611 4.467792e-02
##  [129,] 0.29109043 0.4308138364 2.125348e-01
##  [130,] 0.38669397 0.3625255950 1.132892e-01
##  [131,] 0.36014652 0.0776786613 5.584740e-03
##  [132,] 0.44308684 0.2436977611 4.467792e-02
##  [133,] 0.42415495 0.3063341278 7.374710e-02
##  [134,] 0.37500000 0.3750000000 1.250000e-01
##  [135,] 0.41633799 0.3211750193 8.258786e-02
##  [136,] 0.36014652 0.0776786613 5.584740e-03
##  [137,] 0.44221829 0.1953987782 2.877966e-02
##  [138,] 0.40743849 0.3355375785 9.210835e-02
##  [139,] 0.44435820 0.2275981001 3.885821e-02
##  [140,] 0.36014652 0.0776786613 5.584740e-03
##  [141,] 0.44221829 0.1953987782 2.877966e-02
##  [142,] 0.17945017 0.4386559699 3.574234e-01
##  [143,] 0.44221829 0.1953987782 2.877966e-02
##  [144,] 0.43865597 0.1794501695 2.447048e-02
##  [145,] 0.20448709 0.0179374643 5.244873e-04
##  [146,] 0.40743849 0.3355375785 9.210835e-02
##  [147,] 0.29364573 0.0435030714 2.148300e-03
##  [148,] 0.30633413 0.4241549461 1.957638e-01
##  [149,] 0.17945017 0.4386559699 3.574234e-01
##  [150,] 0.32117502 0.4163379880 1.798991e-01
##  [151,] 0.38669397 0.3625255950 1.132892e-01
##  [152,] 0.20448709 0.0179374643 5.244873e-04
##  [153,] 0.29109043 0.4308138364 2.125348e-01
##  [154,] 0.22759810 0.4443581954 2.891855e-01
##  [155,] 0.37500000 0.3750000000 1.250000e-01
##  [156,] 0.41633799 0.3211750193 8.258786e-02
##  [157,] 0.39289970 0.1042386963 9.218388e-03
##  [158,] 0.42616898 0.1482326877 1.718640e-02
##  [159,] 0.29364573 0.0435030714 2.148300e-03
##  [160,] 0.16938001 0.0116813803 2.685375e-04
##  [161,] 0.44308684 0.2436977611 4.467792e-02
##  [162,] 0.44035531 0.2596967205 5.105149e-02
##  [163,] 0.43865597 0.1794501695 2.447048e-02
##  [164,] 0.38669397 0.3625255950 1.132892e-01
##  [165,] 0.39753197 0.3493462791 1.023338e-01
##  [166,] 0.39753197 0.3493462791 1.023338e-01
##  [167,] 0.43333138 0.1637029640 2.061445e-02
##  [168,] 0.37500000 0.3750000000 1.250000e-01
##  [169,] 0.44308684 0.2436977611 4.467792e-02
##  [170,] 0.25969672 0.4403553087 2.488965e-01
##  [171,] 0.27551945 0.4362391326 2.302373e-01
##  [172,] 0.03392384 0.2665444262 6.980925e-01
##  [173,] 0.37500000 0.3750000000 1.250000e-01
##  [174,] 0.37763083 0.0906313987 7.250512e-03
##  [175,] 0.43865597 0.1794501695 2.447048e-02
##  [176,] 0.44435820 0.2275981001 3.885821e-02
##  [177,] 0.38669397 0.3625255950 1.132892e-01
##  [178,] 0.41633799 0.3211750193 8.258786e-02
##  [179,] 0.36252559 0.3866939680 1.374912e-01
##  [180,] 0.43623913 0.2755194522 5.800410e-02
##  [181,] 0.38669397 0.3625255950 1.132892e-01
##  [182,] 0.41633799 0.3211750193 8.258786e-02
##  [183,] 0.31822950 0.0540389715 3.058810e-03
##  [184,] 0.40602867 0.1184250277 1.151354e-02
##  [185,] 0.40743849 0.3355375785 9.210835e-02
##  [186,] 0.33553758 0.4074384881 1.649156e-01
##  [187,] 0.16938001 0.0116813803 2.685375e-04
##  [188,] 0.32117502 0.4163379880 1.798991e-01
##  [189,] 0.44409385 0.2114732637 3.356718e-02
##  [190,] 0.43623913 0.2755194522 5.800410e-02
##  [191,] 0.26654443 0.0339238361 1.439193e-03
##  [192,] 0.36014652 0.0776786613 5.584740e-03
##  [193,] 0.34037125 0.0654560102 4.195898e-03
##  [194,] 0.40743849 0.3355375785 9.210835e-02
##  [195,] 0.29109043 0.4308138364 2.125348e-01
##  [196,] 0.27551945 0.4362391326 2.302373e-01
##  [197,] 0.44035531 0.2596967205 5.105149e-02
##  [198,] 0.39753197 0.3493462791 1.023338e-01
##  [199,] 0.33553758 0.4074384881 1.649156e-01
##  [200,] 0.41709325 0.1331148669 1.416116e-02
##  [201,] 0.24369776 0.4430868383 2.685375e-01
##  [202,] 0.33553758 0.4074384881 1.649156e-01
##  [203,] 0.41633799 0.3211750193 8.258786e-02
##  [204,] 0.16938001 0.0116813803 2.685375e-04
##  [205,] 0.26654443 0.0339238361 1.439193e-03
##  [206,] 0.44035531 0.2596967205 5.105149e-02
##  [207,] 0.30633413 0.4241549461 1.957638e-01
##  [208,] 0.20448709 0.0179374643 5.244873e-04
##  [209,] 0.43865597 0.1794501695 2.447048e-02
##  [210,] 0.39289970 0.1042386963 9.218388e-03
##  [211,] 0.33553758 0.4074384881 1.649156e-01
##  [212,] 0.40743849 0.3355375785 9.210835e-02
##  [213,] 0.41633799 0.3211750193 8.258786e-02
##  [214,] 0.44035531 0.2596967205 5.105149e-02
##  [215,] 0.26654443 0.0339238361 1.439193e-03
##  [216,] 0.23685006 0.0253767916 9.063140e-04
##  [217,] 0.34934628 0.3975319727 1.507880e-01
##  [218,] 0.44035531 0.2596967205 5.105149e-02
##  [219,] 0.43623913 0.2755194522 5.800410e-02
##  [220,] 0.37763083 0.0906313987 7.250512e-03
##  [221,] 0.29109043 0.4308138364 2.125348e-01
##  [222,] 0.20448709 0.0179374643 5.244873e-04
##  [223,] 0.21147326 0.4440938538 3.108657e-01
##  [224,] 0.00000000 0.0000000000 1.000000e+00
##  [225,] 0.44308684 0.2436977611 4.467792e-02
##  [226,] 0.43333138 0.1637029640 2.061445e-02
##  [227,] 0.29109043 0.4308138364 2.125348e-01
##  [228,] 0.23685006 0.0253767916 9.063140e-04
##  [229,] 0.44435820 0.2275981001 3.885821e-02
##  [230,] 0.37763083 0.0906313987 7.250512e-03
##  [231,] 0.09063140 0.3776308281 5.244873e-01
##  [232,] 0.30633413 0.4241549461 1.957638e-01
##  [233,] 0.31822950 0.0540389715 3.058810e-03
##  [234,] 0.42616898 0.1482326877 1.718640e-02
##  [235,] 0.22759810 0.4443581954 2.891855e-01
##  [236,] 0.37763083 0.0906313987 7.250512e-03
##  [237,] 0.44435820 0.2275981001 3.885821e-02
##  [238,] 0.43081384 0.2910904300 6.556091e-02
##  [239,] 0.37763083 0.0906313987 7.250512e-03
##  [240,] 0.25969672 0.4403553087 2.488965e-01
##  [241,] 0.32117502 0.4163379880 1.798991e-01
##  [242,] 0.43623913 0.2755194522 5.800410e-02
##  [243,] 0.20448709 0.0179374643 5.244873e-04
##  [244,] 0.43081384 0.2910904300 6.556091e-02
##  [245,] 0.27551945 0.4362391326 2.302373e-01
##  [246,] 0.44221829 0.1953987782 2.877966e-02
##  [247,] 0.44035531 0.2596967205 5.105149e-02
##  [248,] 0.41709325 0.1331148669 1.416116e-02
##  [249,] 0.32117502 0.4163379880 1.798991e-01
##  [250,] 0.44221829 0.1953987782 2.877966e-02
##  [251,] 0.09063140 0.0030210466 3.356718e-05
##  [252,] 0.29364573 0.0435030714 2.148300e-03
##  [253,] 0.25969672 0.4403553087 2.488965e-01
##  [254,] 0.39753197 0.3493462791 1.023338e-01
##  [255,] 0.44409385 0.2114732637 3.356718e-02
##  [256,] 0.41709325 0.1331148669 1.416116e-02
##  [257,] 0.38669397 0.3625255950 1.132892e-01
##  [258,] 0.41709325 0.1331148669 1.416116e-02
##  [259,] 0.33553758 0.4074384881 1.649156e-01
##  [260,] 0.37763083 0.0906313987 7.250512e-03
##  [261,] 0.42415495 0.3063341278 7.374710e-02
##  [262,] 0.44409385 0.2114732637 3.356718e-02
##  [263,] 0.34934628 0.3975319727 1.507880e-01
##  [264,] 0.39753197 0.3493462791 1.023338e-01
##  [265,] 0.34037125 0.0654560102 4.195898e-03
##  [266,] 0.31822950 0.0540389715 3.058810e-03
##  [267,] 0.41709325 0.1331148669 1.416116e-02
##  [268,] 0.31822950 0.0540389715 3.058810e-03
##  [269,] 0.44409385 0.2114732637 3.356718e-02
##  [270,] 0.44308684 0.2436977611 4.467792e-02
##  [271,] 0.40743849 0.3355375785 9.210835e-02
##  [272,] 0.32117502 0.4163379880 1.798991e-01
##  [273,] 0.43623913 0.2755194522 5.800410e-02
##  [274,] 0.44308684 0.2436977611 4.467792e-02
##  [275,] 0.43333138 0.1637029640 2.061445e-02
##  [276,] 0.36252559 0.3866939680 1.374912e-01
##  [277,] 0.42616898 0.1482326877 1.718640e-02
##  [278,] 0.38669397 0.3625255950 1.132892e-01
##  [279,] 0.44035531 0.2596967205 5.105149e-02
##  [280,] 0.24369776 0.4430868383 2.685375e-01
##  [281,] 0.34037125 0.0654560102 4.195898e-03
##  [282,] 0.41709325 0.1331148669 1.416116e-02
##  [283,] 0.36252559 0.3866939680 1.374912e-01
##  [284,] 0.38669397 0.3625255950 1.132892e-01
##  [285,] 0.37500000 0.3750000000 1.250000e-01
##  [286,] 0.42415495 0.3063341278 7.374710e-02
##  [287,] 0.36252559 0.3866939680 1.374912e-01
##  [288,] 0.24369776 0.4430868383 2.685375e-01
##  [289,] 0.41633799 0.3211750193 8.258786e-02
##  [290,] 0.42415495 0.3063341278 7.374710e-02
##  [291,] 0.43333138 0.1637029640 2.061445e-02
##  [292,] 0.41633799 0.3211750193 8.258786e-02
##  [293,] 0.34934628 0.3975319727 1.507880e-01
##  [294,] 0.19539878 0.4422182874 3.336033e-01
##  [295,] 0.41633799 0.3211750193 8.258786e-02
##  [296,] 0.42616898 0.1482326877 1.718640e-02
##  [297,] 0.41709325 0.1331148669 1.416116e-02
##  [298,] 0.41633799 0.3211750193 8.258786e-02
##  [299,] 0.36252559 0.3866939680 1.374912e-01
##  [300,] 0.44435820 0.2275981001 3.885821e-02
##  [301,] 0.37500000 0.3750000000 1.250000e-01
##  [302,] 0.39289970 0.1042386963 9.218388e-03
##  [303,] 0.37500000 0.3750000000 1.250000e-01
##  [304,] 0.34934628 0.3975319727 1.507880e-01
##  [305,] 0.43623913 0.2755194522 5.800410e-02
##  [306,] 0.37763083 0.0906313987 7.250512e-03
##  [307,] 0.41709325 0.1331148669 1.416116e-02
##  [308,] 0.36252559 0.3866939680 1.374912e-01
##  [309,] 0.38669397 0.3625255950 1.132892e-01
##  [310,] 0.39753197 0.3493462791 1.023338e-01
##  [311,] 0.41633799 0.3211750193 8.258786e-02
##  [312,] 0.37500000 0.3750000000 1.250000e-01
##  [313,] 0.40743849 0.3355375785 9.210835e-02
##  [314,] 0.44221829 0.1953987782 2.877966e-02
##  [315,] 0.20448709 0.0179374643 5.244873e-04
##  [316,] 0.42616898 0.1482326877 1.718640e-02
##  [317,] 0.42415495 0.3063341278 7.374710e-02
##  [318,] 0.19539878 0.4422182874 3.336033e-01
##  [319,] 0.44308684 0.2436977611 4.467792e-02
##  [320,] 0.44221829 0.1953987782 2.877966e-02
##  [321,] 0.41709325 0.1331148669 1.416116e-02
##  [322,] 0.44035531 0.2596967205 5.105149e-02
##  [323,] 0.37763083 0.0906313987 7.250512e-03
##  [324,] 0.34934628 0.3975319727 1.507880e-01
##  [325,] 0.44435820 0.2275981001 3.885821e-02
##  [326,] 0.27551945 0.4362391326 2.302373e-01
##  [327,] 0.42415495 0.3063341278 7.374710e-02
##  [328,] 0.34934628 0.3975319727 1.507880e-01
##  [329,] 0.43333138 0.1637029640 2.061445e-02
##  [330,] 0.39753197 0.3493462791 1.023338e-01
##  [331,] 0.34934628 0.3975319727 1.507880e-01
##  [332,] 0.16370296 0.4333313752 3.823512e-01
##  [333,] 0.19539878 0.4422182874 3.336033e-01
##  [334,] 0.41709325 0.1331148669 1.416116e-02
##  [335,] 0.43333138 0.1637029640 2.061445e-02
##  [336,] 0.36252559 0.3866939680 1.374912e-01
##  [337,] 0.44035531 0.2596967205 5.105149e-02
##  [338,] 0.20448709 0.0179374643 5.244873e-04
##  [339,] 0.41633799 0.3211750193 8.258786e-02
##  [340,] 0.22759810 0.4443581954 2.891855e-01
##  [341,] 0.41633799 0.3211750193 8.258786e-02
##  [342,] 0.43623913 0.2755194522 5.800410e-02
##  [343,] 0.25969672 0.4403553087 2.488965e-01
##  [344,] 0.33553758 0.4074384881 1.649156e-01
##  [345,] 0.30633413 0.4241549461 1.957638e-01
##  [346,] 0.37763083 0.0906313987 7.250512e-03
##  [347,] 0.39753197 0.3493462791 1.023338e-01
##  [348,] 0.44409385 0.2114732637 3.356718e-02
##  [349,] 0.39753197 0.3493462791 1.023338e-01
##  [350,] 0.44435820 0.2275981001 3.885821e-02
##  [351,] 0.39753197 0.3493462791 1.023338e-01
##  [352,] 0.41633799 0.3211750193 8.258786e-02
##  [353,] 0.43623913 0.2755194522 5.800410e-02
##  [354,] 0.00000000 0.0000000000 0.000000e+00
##  [355,] 0.27551945 0.4362391326 2.302373e-01
##  [356,] 0.36252559 0.3866939680 1.374912e-01
##  [357,] 0.36252559 0.3866939680 1.374912e-01
##  [358,] 0.32117502 0.4163379880 1.798991e-01
##  [359,] 0.27551945 0.4362391326 2.302373e-01
##  [360,] 0.27551945 0.4362391326 2.302373e-01
##  [361,] 0.36252559 0.3866939680 1.374912e-01
##  [362,] 0.32117502 0.4163379880 1.798991e-01
##  [363,] 0.34037125 0.0654560102 4.195898e-03
##  [364,] 0.41633799 0.3211750193 8.258786e-02
##  [365,] 0.23685006 0.0253767916 9.063140e-04
##  [366,] 0.44409385 0.2114732637 3.356718e-02
##  [367,] 0.39753197 0.3493462791 1.023338e-01
##  [368,] 0.44409385 0.2114732637 3.356718e-02
##  [369,] 0.44435820 0.2275981001 3.885821e-02
##  [370,] 0.33553758 0.4074384881 1.649156e-01
##  [371,] 0.40743849 0.3355375785 9.210835e-02
##  [372,] 0.43623913 0.2755194522 5.800410e-02
##  [373,] 0.19539878 0.4422182874 3.336033e-01
##  [374,] 0.43623913 0.2755194522 5.800410e-02
##  [375,] 0.19539878 0.4422182874 3.336033e-01
##  [376,] 0.31822950 0.0540389715 3.058810e-03
##  [377,] 0.41633799 0.3211750193 8.258786e-02
##  [378,] 0.24369776 0.4430868383 2.685375e-01
##  [379,] 0.26654443 0.0339238361 1.439193e-03
##  [380,] 0.34934628 0.3975319727 1.507880e-01
##  [381,] 0.36252559 0.3866939680 1.374912e-01
##  [382,] 0.14823269 0.4261689772 4.084119e-01
##  [383,] 0.30633413 0.4241549461 1.957638e-01
##  [384,] 0.43623913 0.2755194522 5.800410e-02
##  [385,] 0.39289970 0.1042386963 9.218388e-03
##  [386,] 0.26654443 0.0339238361 1.439193e-03
##  [387,] 0.40602867 0.1184250277 1.151354e-02
##  [388,] 0.34037125 0.0654560102 4.195898e-03
##  [389,] 0.40602867 0.1184250277 1.151354e-02
##  [390,] 0.32117502 0.4163379880 1.798991e-01
##  [391,] 0.43865597 0.1794501695 2.447048e-02
##  [392,] 0.43081384 0.2910904300 6.556091e-02
##  [393,] 0.34934628 0.3975319727 1.507880e-01
##  [394,] 0.43333138 0.1637029640 2.061445e-02
##  [395,] 0.43081384 0.2910904300 6.556091e-02
##  [396,] 0.44435820 0.2275981001 3.885821e-02
##  [397,] 0.22759810 0.4443581954 2.891855e-01
##  [398,] 0.41709325 0.1331148669 1.416116e-02
##  [399,] 0.20448709 0.0179374643 5.244873e-04
##  [400,] 0.44221829 0.1953987782 2.877966e-02
##  [401,] 0.44308684 0.2436977611 4.467792e-02
##  [402,] 0.26654443 0.0339238361 1.439193e-03
##  [403,] 0.33553758 0.4074384881 1.649156e-01
##  [404,] 0.20448709 0.0179374643 5.244873e-04
##  [405,] 0.41709325 0.1331148669 1.416116e-02
##  [406,] 0.44221829 0.1953987782 2.877966e-02
##  [407,] 0.42616898 0.1482326877 1.718640e-02
##  [408,] 0.34934628 0.3975319727 1.507880e-01
##  [409,] 0.44308684 0.2436977611 4.467792e-02
##  [410,] 0.36252559 0.3866939680 1.374912e-01
##  [411,] 0.30633413 0.4241549461 1.957638e-01
##  [412,] 0.36252559 0.3866939680 1.374912e-01
##  [413,] 0.40602867 0.1184250277 1.151354e-02
##  [414,] 0.44221829 0.1953987782 2.877966e-02
##  [415,] 0.04683881 0.0007678494 4.195898e-06
##  [416,] 0.40602867 0.1184250277 1.151354e-02
##  [417,] 0.43623913 0.2755194522 5.800410e-02
##  [418,] 0.29364573 0.0435030714 2.148300e-03
##  [419,] 0.40743849 0.3355375785 9.210835e-02
##  [420,] 0.00000000 0.0000000000 0.000000e+00
##  [421,] 0.43081384 0.2910904300 6.556091e-02
##  [422,] 0.17945017 0.4386559699 3.574234e-01
##  [423,] 0.42415495 0.3063341278 7.374710e-02
##  [424,] 0.44308684 0.2436977611 4.467792e-02
##  [425,] 0.43081384 0.2910904300 6.556091e-02
##  [426,] 0.38669397 0.3625255950 1.132892e-01
##  [427,] 0.43333138 0.1637029640 2.061445e-02
##  [428,] 0.19539878 0.4422182874 3.336033e-01
##  [429,] 0.34037125 0.0654560102 4.195898e-03
##  [430,] 0.16938001 0.0116813803 2.685375e-04
##  [431,] 0.43623913 0.2755194522 5.800410e-02
##  [432,] 0.36014652 0.0776786613 5.584740e-03
##  [433,] 0.39289970 0.1042386963 9.218388e-03
##  [434,] 0.22759810 0.4443581954 2.891855e-01
##  [435,] 0.40602867 0.1184250277 1.151354e-02
##  [436,] 0.40602867 0.1184250277 1.151354e-02
##  [437,] 0.26654443 0.0339238361 1.439193e-03
##  [438,] 0.25969672 0.4403553087 2.488965e-01
##  [439,] 0.37500000 0.3750000000 1.250000e-01
##  [440,] 0.44035531 0.2596967205 5.105149e-02
##  [441,] 0.44409385 0.2114732637 3.356718e-02
##  [442,] 0.24369776 0.4430868383 2.685375e-01
##  [443,] 0.44435820 0.2275981001 3.885821e-02
##  [444,] 0.27551945 0.4362391326 2.302373e-01
##  [445,] 0.42415495 0.3063341278 7.374710e-02
##  [446,] 0.44035531 0.2596967205 5.105149e-02
##  [447,] 0.36014652 0.0776786613 5.584740e-03
##  [448,] 0.43623913 0.2755194522 5.800410e-02
##  [449,] 0.34934628 0.3975319727 1.507880e-01
##  [450,] 0.44435820 0.2275981001 3.885821e-02
##  [451,] 0.39289970 0.1042386963 9.218388e-03
##  [452,] 0.04683881 0.0007678494 4.195898e-06
##  [453,] 0.43623913 0.2755194522 5.800410e-02
##  [454,] 0.44409385 0.2114732637 3.356718e-02
##  [455,] 0.29364573 0.0435030714 2.148300e-03
##  [456,] 0.44409385 0.2114732637 3.356718e-02
##  [457,] 0.42415495 0.3063341278 7.374710e-02
##  [458,] 0.33553758 0.4074384881 1.649156e-01
##  [459,] 0.13311487 0.4170932496 4.356307e-01
##  [460,] 0.34037125 0.0654560102 4.195898e-03
##  [461,] 0.32117502 0.4163379880 1.798991e-01
##  [462,] 0.33553758 0.4074384881 1.649156e-01
##  [463,] 0.31822950 0.0540389715 3.058810e-03
##  [464,] 0.40602867 0.1184250277 1.151354e-02
##  [465,] 0.34934628 0.3975319727 1.507880e-01
##  [466,] 0.43081384 0.2910904300 6.556091e-02
##  [467,] 0.36252559 0.3866939680 1.374912e-01
##  [468,] 0.32117502 0.4163379880 1.798991e-01
##  [469,] 0.30633413 0.4241549461 1.957638e-01
##  [470,] 0.23685006 0.0253767916 9.063140e-04
##  [471,] 0.37763083 0.0906313987 7.250512e-03
##  [472,] 0.41633799 0.3211750193 8.258786e-02
##  [473,] 0.29109043 0.4308138364 2.125348e-01
##  [474,] 0.44035531 0.2596967205 5.105149e-02
##  [475,] 0.42415495 0.3063341278 7.374710e-02
##  [476,] 0.33553758 0.4074384881 1.649156e-01
##  [477,] 0.29109043 0.4308138364 2.125348e-01
##  [478,] 0.31822950 0.0540389715 3.058810e-03
##  [479,] 0.40743849 0.3355375785 9.210835e-02
##  [480,] 0.43081384 0.2910904300 6.556091e-02
##  [481,] 0.38669397 0.3625255950 1.132892e-01
##  [482,] 0.41709325 0.1331148669 1.416116e-02
##  [483,] 0.36252559 0.3866939680 1.374912e-01
##  [484,] 0.23685006 0.0253767916 9.063140e-04
##  [485,] 0.43623913 0.2755194522 5.800410e-02
##  [486,] 0.32117502 0.4163379880 1.798991e-01
##  [487,] 0.37500000 0.3750000000 1.250000e-01
##  [488,] 0.40743849 0.3355375785 9.210835e-02
##  [489,] 0.44308684 0.2436977611 4.467792e-02
##  [490,] 0.44035531 0.2596967205 5.105149e-02
##  [491,] 0.43865597 0.1794501695 2.447048e-02
##  [492,] 0.42616898 0.1482326877 1.718640e-02
##  [493,] 0.23685006 0.0253767916 9.063140e-04
##  [494,] 0.41709325 0.1331148669 1.416116e-02
##  [495,] 0.38669397 0.3625255950 1.132892e-01
##  [496,] 0.26654443 0.0339238361 1.439193e-03
##  [497,] 0.31822950 0.0540389715 3.058810e-03
##  [498,] 0.24369776 0.4430868383 2.685375e-01
##  [499,] 0.33553758 0.4074384881 1.649156e-01
##  [500,] 0.21147326 0.4440938538 3.108657e-01
##  [501,] 0.44435820 0.2275981001 3.885821e-02
##  [502,] 0.34934628 0.3975319727 1.507880e-01
##  [503,] 0.39289970 0.1042386963 9.218388e-03
##  [504,] 0.44308684 0.2436977611 4.467792e-02
##  [505,] 0.40743849 0.3355375785 9.210835e-02
##  [506,] 0.33553758 0.4074384881 1.649156e-01
##  [507,] 0.44308684 0.2436977611 4.467792e-02
##  [508,] 0.29364573 0.0435030714 2.148300e-03
##  [509,] 0.44409385 0.2114732637 3.356718e-02
##  [510,] 0.16370296 0.4333313752 3.823512e-01
##  [511,] 0.43333138 0.1637029640 2.061445e-02
##  [512,] 0.36014652 0.0776786613 5.584740e-03
##  [513,] 0.36014652 0.0776786613 5.584740e-03
##  [514,] 0.17945017 0.4386559699 3.574234e-01
##  [515,] 0.27551945 0.4362391326 2.302373e-01
##  [516,] 0.24369776 0.4430868383 2.685375e-01
##  [517,] 0.44435820 0.2275981001 3.885821e-02
##  [518,] 0.37500000 0.3750000000 1.250000e-01
##  [519,] 0.23685006 0.0253767916 9.063140e-04
##  [520,] 0.19539878 0.4422182874 3.336033e-01
##  [521,] 0.24369776 0.4430868383 2.685375e-01
##  [522,] 0.39753197 0.3493462791 1.023338e-01
##  [523,] 0.39753197 0.3493462791 1.023338e-01
##  [524,] 0.44409385 0.2114732637 3.356718e-02
##  [525,] 0.39289970 0.1042386963 9.218388e-03
##  [526,] 0.27551945 0.4362391326 2.302373e-01
##  [527,] 0.42415495 0.3063341278 7.374710e-02
##  [528,] 0.43865597 0.1794501695 2.447048e-02
##  [529,] 0.29109043 0.4308138364 2.125348e-01
##  [530,] 0.38669397 0.3625255950 1.132892e-01
##  [531,] 0.36252559 0.3866939680 1.374912e-01
##  [532,] 0.43623913 0.2755194522 5.800410e-02
##  [533,] 0.26654443 0.0339238361 1.439193e-03
##  [534,] 0.29109043 0.4308138364 2.125348e-01
##  [535,] 0.34037125 0.0654560102 4.195898e-03
##  [536,] 0.37763083 0.0906313987 7.250512e-03
##  [537,] 0.40743849 0.3355375785 9.210835e-02
##  [538,] 0.38669397 0.3625255950 1.132892e-01
##  [539,] 0.20448709 0.0179374643 5.244873e-04
##  [540,] 0.42616898 0.1482326877 1.718640e-02
##  [541,] 0.41709325 0.1331148669 1.416116e-02
##  [542,] 0.24369776 0.4430868383 2.685375e-01
##  [543,] 0.39753197 0.3493462791 1.023338e-01
##  [544,] 0.23685006 0.0253767916 9.063140e-04
##  [545,] 0.27551945 0.4362391326 2.302373e-01
##  [546,] 0.20448709 0.0179374643 5.244873e-04
##  [547,] 0.41633799 0.3211750193 8.258786e-02
##  [548,] 0.24369776 0.4430868383 2.685375e-01
##  [549,] 0.37763083 0.0906313987 7.250512e-03
##  [550,] 0.40743849 0.3355375785 9.210835e-02
##  [551,] 0.38669397 0.3625255950 1.132892e-01
##  [552,] 0.36252559 0.3866939680 1.374912e-01
##  [553,] 0.44221829 0.1953987782 2.877966e-02
##  [554,] 0.37500000 0.3750000000 1.250000e-01
##  [555,] 0.30633413 0.4241549461 1.957638e-01
##  [556,] 0.33553758 0.4074384881 1.649156e-01
##  [557,] 0.37763083 0.0906313987 7.250512e-03
##  [558,] 0.42616898 0.1482326877 1.718640e-02
##  [559,] 0.44409385 0.2114732637 3.356718e-02
##  [560,] 0.44435820 0.2275981001 3.885821e-02
##  [561,] 0.33553758 0.4074384881 1.649156e-01
##  [562,] 0.24369776 0.4430868383 2.685375e-01
##  [563,] 0.44409385 0.2114732637 3.356718e-02
##  [564,] 0.16370296 0.4333313752 3.823512e-01
##  [565,] 0.39289970 0.1042386963 9.218388e-03
##  [566,] 0.32117502 0.4163379880 1.798991e-01
##  [567,] 0.13145329 0.0066840657 1.132892e-04
##  [568,] 0.34037125 0.0654560102 4.195898e-03
##  [569,] 0.41709325 0.1331148669 1.416116e-02
##  [570,] 0.40602867 0.1184250277 1.151354e-02
##  [571,] 0.34037125 0.0654560102 4.195898e-03
##  [572,] 0.43623913 0.2755194522 5.800410e-02
##  [573,] 0.43865597 0.1794501695 2.447048e-02
##  [574,] 0.32117502 0.4163379880 1.798991e-01
##  [575,] 0.43865597 0.1794501695 2.447048e-02
##  [576,] 0.29109043 0.4308138364 2.125348e-01
##  [577,] 0.13311487 0.4170932496 4.356307e-01
##  [578,] 0.44221829 0.1953987782 2.877966e-02
##  [579,] 0.04683881 0.0007678494 4.195898e-06
##  [580,] 0.36252559 0.3866939680 1.374912e-01
##  [581,] 0.16938001 0.0116813803 2.685375e-04
##  [582,] 0.44308684 0.2436977611 4.467792e-02
##  [583,] 0.44221829 0.1953987782 2.877966e-02
##  [584,] 0.11842503 0.4060286664 4.640328e-01
##  [585,] 0.43333138 0.1637029640 2.061445e-02
##  [586,] 0.41709325 0.1331148669 1.416116e-02
##  [587,] 0.42415495 0.3063341278 7.374710e-02
##  [588,] 0.38669397 0.3625255950 1.132892e-01
##  [589,] 0.39753197 0.3493462791 1.023338e-01
##  [590,] 0.44035531 0.2596967205 5.105149e-02
##  [591,] 0.02537679 0.2368500554 7.368668e-01
##  [592,] 0.41709325 0.1331148669 1.416116e-02
##  [593,] 0.17945017 0.4386559699 3.574234e-01
##  [594,] 0.27551945 0.4362391326 2.302373e-01
##  [595,] 0.36014652 0.0776786613 5.584740e-03
##  [596,] 0.27551945 0.4362391326 2.302373e-01
##  [597,] 0.39753197 0.3493462791 1.023338e-01
##  [598,] 0.41633799 0.3211750193 8.258786e-02
##  [599,] 0.42415495 0.3063341278 7.374710e-02
##  [600,] 0.44308684 0.2436977611 4.467792e-02
##  [601,] 0.27551945 0.4362391326 2.302373e-01
##  [602,] 0.27551945 0.4362391326 2.302373e-01
##  [603,] 0.39753197 0.3493462791 1.023338e-01
##  [604,] 0.44435820 0.2275981001 3.885821e-02
##  [605,] 0.44409385 0.2114732637 3.356718e-02
##  [606,] 0.38669397 0.3625255950 1.132892e-01
##  [607,] 0.42415495 0.3063341278 7.374710e-02
##  [608,] 0.43623913 0.2755194522 5.800410e-02
##  [609,] 0.29109043 0.4308138364 2.125348e-01
##  [610,] 0.44435820 0.2275981001 3.885821e-02
##  [611,] 0.37763083 0.0906313987 7.250512e-03
##  [612,] 0.41709325 0.1331148669 1.416116e-02
##  [613,] 0.39289970 0.1042386963 9.218388e-03
##  [614,] 0.43333138 0.1637029640 2.061445e-02
##  [615,] 0.29109043 0.4308138364 2.125348e-01
##  [616,] 0.43865597 0.1794501695 2.447048e-02
##  [617,] 0.44221829 0.1953987782 2.877966e-02
##  [618,] 0.41709325 0.1331148669 1.416116e-02
##  [619,] 0.39753197 0.3493462791 1.023338e-01
##  [620,] 0.34037125 0.0654560102 4.195898e-03
##  [621,] 0.36014652 0.0776786613 5.584740e-03
##  [622,] 0.44308684 0.2436977611 4.467792e-02
##  [623,] 0.41709325 0.1331148669 1.416116e-02
##  [624,] 0.44308684 0.2436977611 4.467792e-02
##  [625,] 0.44435820 0.2275981001 3.885821e-02
##  [626,] 0.42415495 0.3063341278 7.374710e-02
##  [627,] 0.43081384 0.2910904300 6.556091e-02
##  [628,] 0.42415495 0.3063341278 7.374710e-02
##  [629,] 0.36014652 0.0776786613 5.584740e-03
##  [630,] 0.37500000 0.3750000000 1.250000e-01
##  [631,] 0.39753197 0.3493462791 1.023338e-01
##  [632,] 0.40743849 0.3355375785 9.210835e-02
##  [633,] 0.44035531 0.2596967205 5.105149e-02
##  [634,] 0.33553758 0.4074384881 1.649156e-01
##  [635,] 0.43081384 0.2910904300 6.556091e-02
##  [636,] 0.27551945 0.4362391326 2.302373e-01
##  [637,] 0.36014652 0.0776786613 5.584740e-03
##  [638,] 0.41633799 0.3211750193 8.258786e-02
##  [639,] 0.36014652 0.0776786613 5.584740e-03
##  [640,] 0.09063140 0.3776308281 5.244873e-01
##  [641,] 0.39753197 0.3493462791 1.023338e-01
##  [642,] 0.37763083 0.0906313987 7.250512e-03
##  [643,] 0.37500000 0.3750000000 1.250000e-01
##  [644,] 0.43865597 0.1794501695 2.447048e-02
##  [645,] 0.42415495 0.3063341278 7.374710e-02
##  [646,] 0.43623913 0.2755194522 5.800410e-02
##  [647,] 0.44435820 0.2275981001 3.885821e-02
##  [648,] 0.37763083 0.0906313987 7.250512e-03
##  [649,] 0.34037125 0.0654560102 4.195898e-03
##  [650,] 0.37763083 0.0906313987 7.250512e-03
##  [651,] 0.26654443 0.0339238361 1.439193e-03
##  [652,] 0.33553758 0.4074384881 1.649156e-01
##  [653,] 0.29364573 0.0435030714 2.148300e-03
##  [654,] 0.30633413 0.4241549461 1.957638e-01
##  [655,] 0.25969672 0.4403553087 2.488965e-01
##  [656,] 0.40602867 0.1184250277 1.151354e-02
##  [657,] 0.21147326 0.4440938538 3.108657e-01
##  [658,] 0.37500000 0.3750000000 1.250000e-01
##  [659,] 0.38669397 0.3625255950 1.132892e-01
##  [660,] 0.24369776 0.4430868383 2.685375e-01
##  [661,] 0.37763083 0.0906313987 7.250512e-03
##  [662,] 0.31822950 0.0540389715 3.058810e-03
##  [663,] 0.29109043 0.4308138364 2.125348e-01
##  [664,] 0.36252559 0.3866939680 1.374912e-01
##  [665,] 0.44308684 0.2436977611 4.467792e-02
##  [666,] 0.31822950 0.0540389715 3.058810e-03
##  [667,] 0.37500000 0.3750000000 1.250000e-01
##  [668,] 0.36252559 0.3866939680 1.374912e-01
##  [669,] 0.42415495 0.3063341278 7.374710e-02
##  [670,] 0.04350307 0.2936457319 6.607029e-01
##  [671,] 0.39289970 0.1042386963 9.218388e-03
##  [672,] 0.43865597 0.1794501695 2.447048e-02
##  [673,] 0.16370296 0.4333313752 3.823512e-01
##  [674,] 0.40743849 0.3355375785 9.210835e-02
##  [675,] 0.29109043 0.4308138364 2.125348e-01
##  [676,] 0.42415495 0.3063341278 7.374710e-02
##  [677,] 0.42415495 0.3063341278 7.374710e-02
##  [678,] 0.40602867 0.1184250277 1.151354e-02
##  [679,] 0.43623913 0.2755194522 5.800410e-02
##  [680,] 0.38669397 0.3625255950 1.132892e-01
##  [681,] 0.43865597 0.1794501695 2.447048e-02
##  [682,] 0.39289970 0.1042386963 9.218388e-03
##  [683,] 0.30633413 0.4241549461 1.957638e-01
##  [684,] 0.36014652 0.0776786613 5.584740e-03
##  [685,] 0.43333138 0.1637029640 2.061445e-02
##  [686,] 0.36252559 0.3866939680 1.374912e-01
##  [687,] 0.41709325 0.1331148669 1.416116e-02
##  [688,] 0.42616898 0.1482326877 1.718640e-02
##  [689,] 0.41709325 0.1331148669 1.416116e-02
##  [690,] 0.22759810 0.4443581954 2.891855e-01
##  [691,] 0.17945017 0.4386559699 3.574234e-01
##  [692,] 0.36014652 0.0776786613 5.584740e-03
##  [693,] 0.26654443 0.0339238361 1.439193e-03
##  [694,] 0.11842503 0.4060286664 4.640328e-01
##  [695,] 0.41633799 0.3211750193 8.258786e-02
##  [696,] 0.43333138 0.1637029640 2.061445e-02
##  [697,] 0.43081384 0.2910904300 6.556091e-02
##  [698,] 0.37500000 0.3750000000 1.250000e-01
##  [699,] 0.21147326 0.4440938538 3.108657e-01
##  [700,] 0.40743849 0.3355375785 9.210835e-02
##  [701,] 0.29109043 0.4308138364 2.125348e-01
##  [702,] 0.40602867 0.1184250277 1.151354e-02
##  [703,] 0.32117502 0.4163379880 1.798991e-01
##  [704,] 0.25969672 0.4403553087 2.488965e-01
##  [705,] 0.34934628 0.3975319727 1.507880e-01
##  [706,] 0.22759810 0.4443581954 2.891855e-01
##  [707,] 0.41633799 0.3211750193 8.258786e-02
##  [708,] 0.27551945 0.4362391326 2.302373e-01
##  [709,] 0.37763083 0.0906313987 7.250512e-03
##  [710,] 0.13145329 0.0066840657 1.132892e-04
##  [711,] 0.21147326 0.4440938538 3.108657e-01
##  [712,] 0.21147326 0.4440938538 3.108657e-01
##  [713,] 0.44435820 0.2275981001 3.885821e-02
##  [714,] 0.39753197 0.3493462791 1.023338e-01
##  [715,] 0.42415495 0.3063341278 7.374710e-02
##  [716,] 0.40743849 0.3355375785 9.210835e-02
##  [717,] 0.34037125 0.0654560102 4.195898e-03
##  [718,] 0.23685006 0.0253767916 9.063140e-04
##  [719,] 0.44221829 0.1953987782 2.877966e-02
##  [720,] 0.39289970 0.1042386963 9.218388e-03
##  [721,] 0.04350307 0.2936457319 6.607029e-01
##  [722,] 0.36252559 0.3866939680 1.374912e-01
##  [723,] 0.43865597 0.1794501695 2.447048e-02
##  [724,] 0.31822950 0.0540389715 3.058810e-03
##  [725,] 0.31822950 0.0540389715 3.058810e-03
##  [726,] 0.09063140 0.0030210466 3.356718e-05
##  [727,] 0.37500000 0.3750000000 1.250000e-01
##  [728,] 0.26654443 0.0339238361 1.439193e-03
##  [729,] 0.32117502 0.4163379880 1.798991e-01
##  [730,] 0.41633799 0.3211750193 8.258786e-02
##  [731,] 0.40602867 0.1184250277 1.151354e-02
##  [732,] 0.39753197 0.3493462791 1.023338e-01
##  [733,] 0.36252559 0.3866939680 1.374912e-01
##  [734,] 0.40743849 0.3355375785 9.210835e-02
##  [735,] 0.39753197 0.3493462791 1.023338e-01
##  [736,] 0.29109043 0.4308138364 2.125348e-01
##  [737,] 0.37500000 0.3750000000 1.250000e-01
##  [738,] 0.26654443 0.0339238361 1.439193e-03
##  [739,] 0.16370296 0.4333313752 3.823512e-01
##  [740,] 0.39289970 0.1042386963 9.218388e-03
##  [741,] 0.36014652 0.0776786613 5.584740e-03
##  [742,] 0.34934628 0.3975319727 1.507880e-01
##  [743,] 0.34037125 0.0654560102 4.195898e-03
##  [744,] 0.43333138 0.1637029640 2.061445e-02
##  [745,] 0.44035531 0.2596967205 5.105149e-02
##  [746,] 0.22759810 0.4443581954 2.891855e-01
##  [747,] 0.34934628 0.3975319727 1.507880e-01
##  [748,] 0.29364573 0.0435030714 2.148300e-03
##  [749,] 0.42616898 0.1482326877 1.718640e-02
##  [750,] 0.40602867 0.1184250277 1.151354e-02
##  [751,] 0.20448709 0.0179374643 5.244873e-04
##  [752,] 0.43081384 0.2910904300 6.556091e-02
##  [753,] 0.43865597 0.1794501695 2.447048e-02
##  [754,] 0.36252559 0.3866939680 1.374912e-01
##  [755,] 0.29109043 0.4308138364 2.125348e-01
##  [756,] 0.44435820 0.2275981001 3.885821e-02
##  [757,] 0.44308684 0.2436977611 4.467792e-02
##  [758,] 0.40602867 0.1184250277 1.151354e-02
##  [759,] 0.16370296 0.4333313752 3.823512e-01
##  [760,] 0.44409385 0.2114732637 3.356718e-02
##  [761,] 0.10423870 0.3928997013 4.936432e-01
##  [762,] 0.44435820 0.2275981001 3.885821e-02
##  [763,] 0.39289970 0.1042386963 9.218388e-03
##  [764,] 0.44035531 0.2596967205 5.105149e-02
##  [765,] 0.39753197 0.3493462791 1.023338e-01
##  [766,] 0.19539878 0.4422182874 3.336033e-01
##  [767,] 0.19539878 0.4422182874 3.336033e-01
##  [768,] 0.13145329 0.0066840657 1.132892e-04
##  [769,] 0.16938001 0.0116813803 2.685375e-04
##  [770,] 0.32117502 0.4163379880 1.798991e-01
##  [771,] 0.39753197 0.3493462791 1.023338e-01
##  [772,] 0.43865597 0.1794501695 2.447048e-02
##  [773,] 0.43865597 0.1794501695 2.447048e-02
##  [774,] 0.43623913 0.2755194522 5.800410e-02
##  [775,] 0.30633413 0.4241549461 1.957638e-01
##  [776,] 0.31822950 0.0540389715 3.058810e-03
##  [777,] 0.43865597 0.1794501695 2.447048e-02
##  [778,] 0.43333138 0.1637029640 2.061445e-02
##  [779,] 0.43333138 0.1637029640 2.061445e-02
##  [780,] 0.22759810 0.4443581954 2.891855e-01
##  [781,] 0.40602867 0.1184250277 1.151354e-02
##  [782,] 0.41709325 0.1331148669 1.416116e-02
##  [783,] 0.44221829 0.1953987782 2.877966e-02
##  [784,] 0.40743849 0.3355375785 9.210835e-02
##  [785,] 0.16370296 0.4333313752 3.823512e-01
##  [786,] 0.44035531 0.2596967205 5.105149e-02
##  [787,] 0.44308684 0.2436977611 4.467792e-02
##  [788,] 0.40743849 0.3355375785 9.210835e-02
##  [789,] 0.41633799 0.3211750193 8.258786e-02
##  [790,] 0.38669397 0.3625255950 1.132892e-01
##  [791,] 0.36252559 0.3866939680 1.374912e-01
##  [792,] 0.32117502 0.4163379880 1.798991e-01
##  [793,] 0.37763083 0.0906313987 7.250512e-03
##  [794,] 0.29109043 0.4308138364 2.125348e-01
##  [795,] 0.43333138 0.1637029640 2.061445e-02
##  [796,] 0.41709325 0.1331148669 1.416116e-02
##  [797,] 0.42616898 0.1482326877 1.718640e-02
##  [798,] 0.41709325 0.1331148669 1.416116e-02
##  [799,] 0.37500000 0.3750000000 1.250000e-01
##  [800,] 0.17945017 0.4386559699 3.574234e-01
##  [801,] 0.39289970 0.1042386963 9.218388e-03
##  [802,] 0.43081384 0.2910904300 6.556091e-02
##  [803,] 0.43081384 0.2910904300 6.556091e-02
##  [804,] 0.43081384 0.2910904300 6.556091e-02
##  [805,] 0.38669397 0.3625255950 1.132892e-01
##  [806,] 0.38669397 0.3625255950 1.132892e-01
##  [807,] 0.36014652 0.0776786613 5.584740e-03
##  [808,] 0.33553758 0.4074384881 1.649156e-01
##  [809,] 0.44308684 0.2436977611 4.467792e-02
##  [810,] 0.43081384 0.2910904300 6.556091e-02
##  [811,] 0.40602867 0.1184250277 1.151354e-02
##  [812,] 0.34037125 0.0654560102 4.195898e-03
##  [813,] 0.42415495 0.3063341278 7.374710e-02
##  [814,] 0.44035531 0.2596967205 5.105149e-02
##  [815,] 0.39289970 0.1042386963 9.218388e-03
##  [816,] 0.38669397 0.3625255950 1.132892e-01
##  [817,] 0.36252559 0.3866939680 1.374912e-01
##  [818,] 0.39753197 0.3493462791 1.023338e-01
##  [819,] 0.39289970 0.1042386963 9.218388e-03
##  [820,] 0.44308684 0.2436977611 4.467792e-02
##  [821,] 0.23685006 0.0253767916 9.063140e-04
##  [822,] 0.13311487 0.4170932496 4.356307e-01
##  [823,] 0.34037125 0.0654560102 4.195898e-03
##  [824,] 0.41633799 0.3211750193 8.258786e-02
##  [825,] 0.40743849 0.3355375785 9.210835e-02
##  [826,] 0.05403897 0.3182294988 6.246727e-01
##  [827,] 0.44435820 0.2275981001 3.885821e-02
##  [828,] 0.44035531 0.2596967205 5.105149e-02
##  [829,] 0.41709325 0.1331148669 1.416116e-02
##  [830,] 0.01168138 0.1693800141 8.186701e-01
##  [831,] 0.29364573 0.0435030714 2.148300e-03
##  [832,] 0.34934628 0.3975319727 1.507880e-01
##  [833,] 0.44221829 0.1953987782 2.877966e-02
##  [834,] 0.44221829 0.1953987782 2.877966e-02
##  [835,] 0.40602867 0.1184250277 1.151354e-02
##  [836,] 0.29109043 0.4308138364 2.125348e-01
##  [837,] 0.43865597 0.1794501695 2.447048e-02
##  [838,] 0.44435820 0.2275981001 3.885821e-02
##  [839,] 0.40743849 0.3355375785 9.210835e-02
##  [840,] 0.42616898 0.1482326877 1.718640e-02
##  [841,] 0.44435820 0.2275981001 3.885821e-02
##  [842,] 0.36252559 0.3866939680 1.374912e-01
##  [843,] 0.38669397 0.3625255950 1.132892e-01
##  [844,] 0.39753197 0.3493462791 1.023338e-01
##  [845,] 0.09063140 0.0030210466 3.356718e-05
##  [846,] 0.44221829 0.1953987782 2.877966e-02
##  [847,] 0.30633413 0.4241549461 1.957638e-01
##  [848,] 0.34934628 0.3975319727 1.507880e-01
##  [849,] 0.40602867 0.1184250277 1.151354e-02
##  [850,] 0.43333138 0.1637029640 2.061445e-02
##  [851,] 0.44409385 0.2114732637 3.356718e-02
##  [852,] 0.34037125 0.0654560102 4.195898e-03
##  [853,] 0.19539878 0.4422182874 3.336033e-01
##  [854,] 0.37500000 0.3750000000 1.250000e-01
##  [855,] 0.34037125 0.0654560102 4.195898e-03
##  [856,] 0.19539878 0.4422182874 3.336033e-01
##  [857,] 0.43623913 0.2755194522 5.800410e-02
##  [858,] 0.39289970 0.1042386963 9.218388e-03
##  [859,] 0.36252559 0.3866939680 1.374912e-01
##  [860,] 0.42415495 0.3063341278 7.374710e-02
##  [861,] 0.40743849 0.3355375785 9.210835e-02
##  [862,] 0.44308684 0.2436977611 4.467792e-02
##  [863,] 0.44409385 0.2114732637 3.356718e-02
##  [864,] 0.43081384 0.2910904300 6.556091e-02
##  [865,] 0.39753197 0.3493462791 1.023338e-01
##  [866,] 0.39753197 0.3493462791 1.023338e-01
##  [867,] 0.22759810 0.4443581954 2.891855e-01
##  [868,] 0.43865597 0.1794501695 2.447048e-02
##  [869,] 0.44435820 0.2275981001 3.885821e-02
##  [870,] 0.44308684 0.2436977611 4.467792e-02
##  [871,] 0.43623913 0.2755194522 5.800410e-02
##  [872,] 0.44409385 0.2114732637 3.356718e-02
##  [873,] 0.00000000 0.0000000000 0.000000e+00
##  [874,] 0.43333138 0.1637029640 2.061445e-02
##  [875,] 0.38669397 0.3625255950 1.132892e-01
##  [876,] 0.31822950 0.0540389715 3.058810e-03
##  [877,] 0.44308684 0.2436977611 4.467792e-02
##  [878,] 0.42616898 0.1482326877 1.718640e-02
##  [879,] 0.30633413 0.4241549461 1.957638e-01
##  [880,] 0.09063140 0.0030210466 3.356718e-05
##  [881,] 0.36252559 0.3866939680 1.374912e-01
##  [882,] 0.43623913 0.2755194522 5.800410e-02
##  [883,] 0.22759810 0.4443581954 2.891855e-01
##  [884,] 0.10423870 0.3928997013 4.936432e-01
##  [885,] 0.29364573 0.0435030714 2.148300e-03
##  [886,] 0.44308684 0.2436977611 4.467792e-02
##  [887,] 0.16938001 0.0116813803 2.685375e-04
##  [888,] 0.42415495 0.3063341278 7.374710e-02
##  [889,] 0.30633413 0.4241549461 1.957638e-01
##  [890,] 0.38669397 0.3625255950 1.132892e-01
##  [891,] 0.38669397 0.3625255950 1.132892e-01
##  [892,] 0.37763083 0.0906313987 7.250512e-03
##  [893,] 0.44409385 0.2114732637 3.356718e-02
##  [894,] 0.22759810 0.4443581954 2.891855e-01
##  [895,] 0.44409385 0.2114732637 3.356718e-02
##  [896,] 0.44308684 0.2436977611 4.467792e-02
##  [897,] 0.43865597 0.1794501695 2.447048e-02
##  [898,] 0.21147326 0.4440938538 3.108657e-01
##  [899,] 0.44308684 0.2436977611 4.467792e-02
##  [900,] 0.34037125 0.0654560102 4.195898e-03
##  [901,] 0.42616898 0.1482326877 1.718640e-02
##  [902,] 0.29364573 0.0435030714 2.148300e-03
##  [903,] 0.31822950 0.0540389715 3.058810e-03
##  [904,] 0.44409385 0.2114732637 3.356718e-02
##  [905,] 0.34934628 0.3975319727 1.507880e-01
##  [906,] 0.24369776 0.4430868383 2.685375e-01
##  [907,] 0.43623913 0.2755194522 5.800410e-02
##  [908,] 0.40602867 0.1184250277 1.151354e-02
##  [909,] 0.31822950 0.0540389715 3.058810e-03
##  [910,] 0.34934628 0.3975319727 1.507880e-01
##  [911,] 0.21147326 0.4440938538 3.108657e-01
##  [912,] 0.17945017 0.4386559699 3.574234e-01
##  [913,] 0.20448709 0.0179374643 5.244873e-04
##  [914,] 0.39753197 0.3493462791 1.023338e-01
##  [915,] 0.25969672 0.4403553087 2.488965e-01
##  [916,] 0.34037125 0.0654560102 4.195898e-03
##  [917,] 0.24369776 0.4430868383 2.685375e-01
##  [918,] 0.39753197 0.3493462791 1.023338e-01
##  [919,] 0.44035531 0.2596967205 5.105149e-02
##  [920,] 0.31822950 0.0540389715 3.058810e-03
##  [921,] 0.04683881 0.0007678494 4.195898e-06
##  [922,] 0.39753197 0.3493462791 1.023338e-01
##  [923,] 0.42415495 0.3063341278 7.374710e-02
##  [924,] 0.20448709 0.0179374643 5.244873e-04
##  [925,] 0.43623913 0.2755194522 5.800410e-02
##  [926,] 0.33553758 0.4074384881 1.649156e-01
##  [927,] 0.09063140 0.0030210466 3.356718e-05
##  [928,] 0.41709325 0.1331148669 1.416116e-02
##  [929,] 0.44308684 0.2436977611 4.467792e-02
##  [930,] 0.43333138 0.1637029640 2.061445e-02
##  [931,] 0.42616898 0.1482326877 1.718640e-02
##  [932,] 0.44221829 0.1953987782 2.877966e-02
##  [933,] 0.16938001 0.0116813803 2.685375e-04
##  [934,] 0.42415495 0.3063341278 7.374710e-02
##  [935,] 0.41633799 0.3211750193 8.258786e-02
##  [936,] 0.43623913 0.2755194522 5.800410e-02
##  [937,] 0.33553758 0.4074384881 1.649156e-01
##  [938,] 0.31822950 0.0540389715 3.058810e-03
##  [939,] 0.22759810 0.4443581954 2.891855e-01
##  [940,] 0.33553758 0.4074384881 1.649156e-01
##  [941,] 0.04683881 0.0007678494 4.195898e-06
##  [942,] 0.14823269 0.4261689772 4.084119e-01
##  [943,] 0.44409385 0.2114732637 3.356718e-02
##  [944,] 0.32117502 0.4163379880 1.798991e-01
##  [945,] 0.34037125 0.0654560102 4.195898e-03
##  [946,] 0.44435820 0.2275981001 3.885821e-02
##  [947,] 0.33553758 0.4074384881 1.649156e-01
##  [948,] 0.44035531 0.2596967205 5.105149e-02
##  [949,] 0.39753197 0.3493462791 1.023338e-01
##  [950,] 0.39289970 0.1042386963 9.218388e-03
##  [951,] 0.34037125 0.0654560102 4.195898e-03
##  [952,] 0.41633799 0.3211750193 8.258786e-02
##  [953,] 0.39753197 0.3493462791 1.023338e-01
##  [954,] 0.37500000 0.3750000000 1.250000e-01
##  [955,] 0.38669397 0.3625255950 1.132892e-01
##  [956,] 0.39753197 0.3493462791 1.023338e-01
##  [957,] 0.25969672 0.4403553087 2.488965e-01
##  [958,] 0.44435820 0.2275981001 3.885821e-02
##  [959,] 0.41633799 0.3211750193 8.258786e-02
##  [960,] 0.33553758 0.4074384881 1.649156e-01
##  [961,] 0.34934628 0.3975319727 1.507880e-01
##  [962,] 0.41633799 0.3211750193 8.258786e-02
##  [963,] 0.38669397 0.3625255950 1.132892e-01
##  [964,] 0.39753197 0.3493462791 1.023338e-01
##  [965,] 0.37500000 0.3750000000 1.250000e-01
##  [966,] 0.38669397 0.3625255950 1.132892e-01
##  [967,] 0.27551945 0.4362391326 2.302373e-01
##  [968,] 0.44435820 0.2275981001 3.885821e-02
##  [969,] 0.37500000 0.3750000000 1.250000e-01
##  [970,] 0.40743849 0.3355375785 9.210835e-02
##  [971,] 0.29364573 0.0435030714 2.148300e-03
##  [972,] 0.19539878 0.4422182874 3.336033e-01
##  [973,] 0.17945017 0.4386559699 3.574234e-01
##  [974,] 0.39753197 0.3493462791 1.023338e-01
##  [975,] 0.44308684 0.2436977611 4.467792e-02
##  [976,] 0.19539878 0.4422182874 3.336033e-01
##  [977,] 0.44409385 0.2114732637 3.356718e-02
##  [978,] 0.41633799 0.3211750193 8.258786e-02
##  [979,] 0.31822950 0.0540389715 3.058810e-03
##  [980,] 0.16938001 0.0116813803 2.685375e-04
##  [981,] 0.26654443 0.0339238361 1.439193e-03
##  [982,] 0.43333138 0.1637029640 2.061445e-02
##  [983,] 0.44035531 0.2596967205 5.105149e-02
##  [984,] 0.37500000 0.3750000000 1.250000e-01
##  [985,] 0.43865597 0.1794501695 2.447048e-02
##  [986,] 0.34037125 0.0654560102 4.195898e-03
##  [987,] 0.24369776 0.4430868383 2.685375e-01
##  [988,] 0.14823269 0.4261689772 4.084119e-01
##  [989,] 0.41633799 0.3211750193 8.258786e-02
##  [990,] 0.33553758 0.4074384881 1.649156e-01
##  [991,] 0.43623913 0.2755194522 5.800410e-02
##  [992,] 0.44308684 0.2436977611 4.467792e-02
##  [993,] 0.29109043 0.4308138364 2.125348e-01
##  [994,] 0.40743849 0.3355375785 9.210835e-02
##  [995,] 0.29109043 0.4308138364 2.125348e-01
##  [996,] 0.32117502 0.4163379880 1.798991e-01
##  [997,] 0.41709325 0.1331148669 1.416116e-02
##  [998,] 0.41633799 0.3211750193 8.258786e-02
##  [999,] 0.30633413 0.4241549461 1.957638e-01
## [1000,] 0.40602867 0.1184250277 1.151354e-02
## [1001,] 0.43623913 0.2755194522 5.800410e-02
## [1002,] 0.30633413 0.4241549461 1.957638e-01
## [1003,] 0.44409385 0.2114732637 3.356718e-02
## [1004,] 0.39289970 0.1042386963 9.218388e-03
## [1005,] 0.44035531 0.2596967205 5.105149e-02
## [1006,] 0.41633799 0.3211750193 8.258786e-02
## [1007,] 0.37500000 0.3750000000 1.250000e-01
## [1008,] 0.36252559 0.3866939680 1.374912e-01
## [1009,] 0.44308684 0.2436977611 4.467792e-02
## [1010,] 0.26654443 0.0339238361 1.439193e-03
## [1011,] 0.34934628 0.3975319727 1.507880e-01
## [1012,] 0.40602867 0.1184250277 1.151354e-02
## [1013,] 0.43623913 0.2755194522 5.800410e-02
## [1014,] 0.22759810 0.4443581954 2.891855e-01
## [1015,] 0.39289970 0.1042386963 9.218388e-03
## [1016,] 0.36014652 0.0776786613 5.584740e-03
## [1017,] 0.43333138 0.1637029640 2.061445e-02
## [1018,] 0.34037125 0.0654560102 4.195898e-03
## [1019,] 0.36252559 0.3866939680 1.374912e-01
## [1020,] 0.29364573 0.0435030714 2.148300e-03
## [1021,] 0.39289970 0.1042386963 9.218388e-03
## [1022,] 0.36252559 0.3866939680 1.374912e-01
## [1023,] 0.16938001 0.0116813803 2.685375e-04
## [1024,] 0.29109043 0.4308138364 2.125348e-01
## [1025,] 0.16370296 0.4333313752 3.823512e-01
## [1026,] 0.16370296 0.4333313752 3.823512e-01
## [1027,] 0.43081384 0.2910904300 6.556091e-02
## [1028,] 0.44409385 0.2114732637 3.356718e-02
## [1029,] 0.17945017 0.4386559699 3.574234e-01
## [1030,] 0.43865597 0.1794501695 2.447048e-02
## [1031,] 0.30633413 0.4241549461 1.957638e-01
## [1032,] 0.29364573 0.0435030714 2.148300e-03
## [1033,] 0.40743849 0.3355375785 9.210835e-02
## [1034,] 0.16938001 0.0116813803 2.685375e-04
## [1035,] 0.24369776 0.4430868383 2.685375e-01
## [1036,] 0.16370296 0.4333313752 3.823512e-01
## [1037,] 0.10423870 0.3928997013 4.936432e-01
## [1038,] 0.43081384 0.2910904300 6.556091e-02
## [1039,] 0.44308684 0.2436977611 4.467792e-02
## [1040,] 0.44035531 0.2596967205 5.105149e-02
## [1041,] 0.34934628 0.3975319727 1.507880e-01
## [1042,] 0.43081384 0.2910904300 6.556091e-02
## [1043,] 0.42616898 0.1482326877 1.718640e-02
## [1044,] 0.41709325 0.1331148669 1.416116e-02
## [1045,] 0.40743849 0.3355375785 9.210835e-02
## [1046,] 0.44409385 0.2114732637 3.356718e-02
## [1047,] 0.42415495 0.3063341278 7.374710e-02
## [1048,] 0.36252559 0.3866939680 1.374912e-01
## [1049,] 0.29109043 0.4308138364 2.125348e-01
## [1050,] 0.37500000 0.3750000000 1.250000e-01
## [1051,] 0.39753197 0.3493462791 1.023338e-01
## [1052,] 0.44308684 0.2436977611 4.467792e-02
## [1053,] 0.13145329 0.0066840657 1.132892e-04
## [1054,] 0.19539878 0.4422182874 3.336033e-01
## [1055,] 0.42415495 0.3063341278 7.374710e-02
## [1056,] 0.43081384 0.2910904300 6.556091e-02
## [1057,] 0.36014652 0.0776786613 5.584740e-03
## [1058,] 0.29364573 0.0435030714 2.148300e-03
## [1059,] 0.44409385 0.2114732637 3.356718e-02
## [1060,] 0.41633799 0.3211750193 8.258786e-02
## [1061,] 0.44435820 0.2275981001 3.885821e-02
## [1062,] 0.41709325 0.1331148669 1.416116e-02
## [1063,] 0.42415495 0.3063341278 7.374710e-02
## [1064,] 0.38669397 0.3625255950 1.132892e-01
## [1065,] 0.41633799 0.3211750193 8.258786e-02
## [1066,] 0.27551945 0.4362391326 2.302373e-01
## [1067,] 0.05403897 0.3182294988 6.246727e-01
## [1068,] 0.37763083 0.0906313987 7.250512e-03
## [1069,] 0.41633799 0.3211750193 8.258786e-02
## [1070,] 0.44035531 0.2596967205 5.105149e-02
## [1071,] 0.44308684 0.2436977611 4.467792e-02
## [1072,] 0.22759810 0.4443581954 2.891855e-01
## [1073,] 0.40743849 0.3355375785 9.210835e-02
## [1074,] 0.44409385 0.2114732637 3.356718e-02
## [1075,] 0.32117502 0.4163379880 1.798991e-01
## [1076,] 0.40743849 0.3355375785 9.210835e-02
## [1077,] 0.34037125 0.0654560102 4.195898e-03
## [1078,] 0.42616898 0.1482326877 1.718640e-02
## [1079,] 0.16938001 0.0116813803 2.685375e-04
## [1080,] 0.31822950 0.0540389715 3.058810e-03
## [1081,] 0.33553758 0.4074384881 1.649156e-01
## [1082,] 0.43081384 0.2910904300 6.556091e-02
## [1083,] 0.33553758 0.4074384881 1.649156e-01
## [1084,] 0.30633413 0.4241549461 1.957638e-01
## [1085,] 0.39753197 0.3493462791 1.023338e-01
## [1086,] 0.43623913 0.2755194522 5.800410e-02
## [1087,] 0.04350307 0.2936457319 6.607029e-01
## [1088,] 0.43333138 0.1637029640 2.061445e-02
## [1089,] 0.21147326 0.4440938538 3.108657e-01
## [1090,] 0.41633799 0.3211750193 8.258786e-02
## [1091,] 0.19539878 0.4422182874 3.336033e-01
## [1092,] 0.44435820 0.2275981001 3.885821e-02
## [1093,] 0.26654443 0.0339238361 1.439193e-03
## [1094,] 0.34934628 0.3975319727 1.507880e-01
## [1095,] 0.24369776 0.4430868383 2.685375e-01
## [1096,] 0.33553758 0.4074384881 1.649156e-01
## [1097,] 0.41633799 0.3211750193 8.258786e-02
## [1098,] 0.44035531 0.2596967205 5.105149e-02
## [1099,] 0.43623913 0.2755194522 5.800410e-02
## [1100,] 0.39289970 0.1042386963 9.218388e-03
## [1101,] 0.39753197 0.3493462791 1.023338e-01
## [1102,] 0.32117502 0.4163379880 1.798991e-01
## [1103,] 0.44221829 0.1953987782 2.877966e-02
## [1104,] 0.33553758 0.4074384881 1.649156e-01
## [1105,] 0.44035531 0.2596967205 5.105149e-02
## [1106,] 0.44435820 0.2275981001 3.885821e-02
## [1107,] 0.20448709 0.0179374643 5.244873e-04
## [1108,] 0.43081384 0.2910904300 6.556091e-02
## [1109,] 0.36014652 0.0776786613 5.584740e-03
## [1110,] 0.43081384 0.2910904300 6.556091e-02
## [1111,] 0.14823269 0.4261689772 4.084119e-01
## [1112,] 0.37500000 0.3750000000 1.250000e-01
## [1113,] 0.40743849 0.3355375785 9.210835e-02
## [1114,] 0.37763083 0.0906313987 7.250512e-03
## [1115,] 0.36014652 0.0776786613 5.584740e-03
## [1116,] 0.40602867 0.1184250277 1.151354e-02
## [1117,] 0.44308684 0.2436977611 4.467792e-02
## [1118,] 0.23685006 0.0253767916 9.063140e-04
## [1119,] 0.39753197 0.3493462791 1.023338e-01
## [1120,] 0.26654443 0.0339238361 1.439193e-03
## [1121,] 0.42415495 0.3063341278 7.374710e-02
## [1122,] 0.30633413 0.4241549461 1.957638e-01
## [1123,] 0.22759810 0.4443581954 2.891855e-01
## [1124,] 0.16370296 0.4333313752 3.823512e-01
## [1125,] 0.37500000 0.3750000000 1.250000e-01
## [1126,] 0.23685006 0.0253767916 9.063140e-04
## [1127,] 0.11842503 0.4060286664 4.640328e-01
## [1128,] 0.25969672 0.4403553087 2.488965e-01
## [1129,] 0.39753197 0.3493462791 1.023338e-01
## [1130,] 0.20448709 0.0179374643 5.244873e-04
## [1131,] 0.43081384 0.2910904300 6.556091e-02
## [1132,] 0.24369776 0.4430868383 2.685375e-01
## [1133,] 0.38669397 0.3625255950 1.132892e-01
## [1134,] 0.36252559 0.3866939680 1.374912e-01
## [1135,] 0.24369776 0.4430868383 2.685375e-01
## [1136,] 0.09063140 0.0030210466 3.356718e-05
## [1137,] 0.42415495 0.3063341278 7.374710e-02
## [1138,] 0.36252559 0.3866939680 1.374912e-01
## [1139,] 0.29109043 0.4308138364 2.125348e-01
## [1140,] 0.44435820 0.2275981001 3.885821e-02
## [1141,] 0.36252559 0.3866939680 1.374912e-01
## [1142,] 0.23685006 0.0253767916 9.063140e-04
## [1143,] 0.32117502 0.4163379880 1.798991e-01
## [1144,] 0.43333138 0.1637029640 2.061445e-02
## [1145,] 0.26654443 0.0339238361 1.439193e-03
## [1146,] 0.23685006 0.0253767916 9.063140e-04
## [1147,] 0.25969672 0.4403553087 2.488965e-01
## [1148,] 0.44308684 0.2436977611 4.467792e-02
## [1149,] 0.38669397 0.3625255950 1.132892e-01
## [1150,] 0.44035531 0.2596967205 5.105149e-02
## [1151,] 0.36252559 0.3866939680 1.374912e-01
## [1152,] 0.43333138 0.1637029640 2.061445e-02
## [1153,] 0.31822950 0.0540389715 3.058810e-03
## [1154,] 0.44035531 0.2596967205 5.105149e-02
## [1155,] 0.22759810 0.4443581954 2.891855e-01
## [1156,] 0.29109043 0.4308138364 2.125348e-01
## [1157,] 0.30633413 0.4241549461 1.957638e-01
## [1158,] 0.42616898 0.1482326877 1.718640e-02
## [1159,] 0.43081384 0.2910904300 6.556091e-02
## [1160,] 0.43081384 0.2910904300 6.556091e-02
## [1161,] 0.41633799 0.3211750193 8.258786e-02
## [1162,] 0.44308684 0.2436977611 4.467792e-02
## [1163,] 0.41709325 0.1331148669 1.416116e-02
## [1164,] 0.41633799 0.3211750193 8.258786e-02
## [1165,] 0.13145329 0.0066840657 1.132892e-04
## [1166,] 0.30633413 0.4241549461 1.957638e-01
## [1167,] 0.43333138 0.1637029640 2.061445e-02
## [1168,] 0.20448709 0.0179374643 5.244873e-04
## [1169,] 0.19539878 0.4422182874 3.336033e-01
## [1170,] 0.34934628 0.3975319727 1.507880e-01
## [1171,] 0.43081384 0.2910904300 6.556091e-02
## [1172,] 0.09063140 0.0030210466 3.356718e-05
## [1173,] 0.34934628 0.3975319727 1.507880e-01
## [1174,] 0.13311487 0.4170932496 4.356307e-01
## [1175,] 0.43865597 0.1794501695 2.447048e-02
## [1176,] 0.41709325 0.1331148669 1.416116e-02
## [1177,] 0.40602867 0.1184250277 1.151354e-02
## [1178,] 0.41633799 0.3211750193 8.258786e-02
## [1179,] 0.34934628 0.3975319727 1.507880e-01
## [1180,] 0.41709325 0.1331148669 1.416116e-02
## [1181,] 0.39753197 0.3493462791 1.023338e-01
## [1182,] 0.20448709 0.0179374643 5.244873e-04
## [1183,] 0.25969672 0.4403553087 2.488965e-01
## [1184,] 0.19539878 0.4422182874 3.336033e-01
## [1185,] 0.36014652 0.0776786613 5.584740e-03
## [1186,] 0.44221829 0.1953987782 2.877966e-02
## [1187,] 0.44435820 0.2275981001 3.885821e-02
## [1188,] 0.22759810 0.4443581954 2.891855e-01
## [1189,] 0.39289970 0.1042386963 9.218388e-03
## [1190,] 0.29364573 0.0435030714 2.148300e-03
## [1191,] 0.34934628 0.3975319727 1.507880e-01
## [1192,] 0.44409385 0.2114732637 3.356718e-02
## [1193,] 0.36252559 0.3866939680 1.374912e-01
## [1194,] 0.37500000 0.3750000000 1.250000e-01
## [1195,] 0.44308684 0.2436977611 4.467792e-02
## [1196,] 0.37763083 0.0906313987 7.250512e-03
## [1197,] 0.44035531 0.2596967205 5.105149e-02
## [1198,] 0.40602867 0.1184250277 1.151354e-02
## [1199,] 0.29364573 0.0435030714 2.148300e-03
## [1200,] 0.44035531 0.2596967205 5.105149e-02
## [1201,] 0.43333138 0.1637029640 2.061445e-02
## [1202,] 0.36252559 0.3866939680 1.374912e-01
## [1203,] 0.43081384 0.2910904300 6.556091e-02
## [1204,] 0.36252559 0.3866939680 1.374912e-01
## [1205,] 0.04683881 0.0007678494 4.195898e-06
## [1206,] 0.43623913 0.2755194522 5.800410e-02
## [1207,] 0.32117502 0.4163379880 1.798991e-01
## [1208,] 0.16938001 0.0116813803 2.685375e-04
## [1209,] 0.37500000 0.3750000000 1.250000e-01
## [1210,] 0.41709325 0.1331148669 1.416116e-02
## [1211,] 0.39289970 0.1042386963 9.218388e-03
## [1212,] 0.44308684 0.2436977611 4.467792e-02
## [1213,] 0.38669397 0.3625255950 1.132892e-01
## [1214,] 0.40743849 0.3355375785 9.210835e-02
## [1215,] 0.36252559 0.3866939680 1.374912e-01
## [1216,] 0.44409385 0.2114732637 3.356718e-02
## [1217,] 0.41709325 0.1331148669 1.416116e-02
## [1218,] 0.33553758 0.4074384881 1.649156e-01
## [1219,] 0.38669397 0.3625255950 1.132892e-01
## [1220,] 0.32117502 0.4163379880 1.798991e-01
## [1221,] 0.43081384 0.2910904300 6.556091e-02
## [1222,] 0.30633413 0.4241549461 1.957638e-01
## [1223,] 0.26654443 0.0339238361 1.439193e-03
## [1224,] 0.43333138 0.1637029640 2.061445e-02
## [1225,] 0.43865597 0.1794501695 2.447048e-02
## [1226,] 0.43081384 0.2910904300 6.556091e-02
## [1227,] 0.33553758 0.4074384881 1.649156e-01
## [1228,] 0.34934628 0.3975319727 1.507880e-01
## [1229,] 0.38669397 0.3625255950 1.132892e-01
## [1230,] 0.43623913 0.2755194522 5.800410e-02
## [1231,] 0.40602867 0.1184250277 1.151354e-02
## [1232,] 0.38669397 0.3625255950 1.132892e-01
## [1233,] 0.09063140 0.0030210466 3.356718e-05
## [1234,] 0.24369776 0.4430868383 2.685375e-01
## [1235,] 0.44409385 0.2114732637 3.356718e-02
## [1236,] 0.20448709 0.0179374643 5.244873e-04
## [1237,] 0.30633413 0.4241549461 1.957638e-01
## [1238,] 0.11842503 0.4060286664 4.640328e-01
## [1239,] 0.39753197 0.3493462791 1.023338e-01
## [1240,] 0.43333138 0.1637029640 2.061445e-02
## [1241,] 0.44035531 0.2596967205 5.105149e-02
## [1242,] 0.44308684 0.2436977611 4.467792e-02
## [1243,] 0.36252559 0.3866939680 1.374912e-01
## [1244,] 0.43333138 0.1637029640 2.061445e-02
## [1245,] 0.43081384 0.2910904300 6.556091e-02
## [1246,] 0.20448709 0.0179374643 5.244873e-04
## [1247,] 0.23685006 0.0253767916 9.063140e-04
## [1248,] 0.36252559 0.3866939680 1.374912e-01
## [1249,] 0.29109043 0.4308138364 2.125348e-01
## [1250,] 0.44035531 0.2596967205 5.105149e-02
## [1251,] 0.30633413 0.4241549461 1.957638e-01
## [1252,] 0.44435820 0.2275981001 3.885821e-02
## [1253,] 0.43333138 0.1637029640 2.061445e-02
## [1254,] 0.34934628 0.3975319727 1.507880e-01
## [1255,] 0.29109043 0.4308138364 2.125348e-01
## [1256,] 0.25969672 0.4403553087 2.488965e-01
## [1257,] 0.13145329 0.0066840657 1.132892e-04
## [1258,] 0.21147326 0.4440938538 3.108657e-01
## [1259,] 0.27551945 0.4362391326 2.302373e-01
## [1260,] 0.40602867 0.1184250277 1.151354e-02
## [1261,] 0.34037125 0.0654560102 4.195898e-03
## [1262,] 0.21147326 0.4440938538 3.108657e-01
## [1263,] 0.29109043 0.4308138364 2.125348e-01
## [1264,] 0.43865597 0.1794501695 2.447048e-02
## [1265,] 0.40743849 0.3355375785 9.210835e-02
## [1266,] 0.42415495 0.3063341278 7.374710e-02
## [1267,] 0.43865597 0.1794501695 2.447048e-02
## [1268,] 0.44035531 0.2596967205 5.105149e-02
## [1269,] 0.16938001 0.0116813803 2.685375e-04
## [1270,] 0.34934628 0.3975319727 1.507880e-01
## [1271,] 0.25969672 0.4403553087 2.488965e-01
## [1272,] 0.29109043 0.4308138364 2.125348e-01
## [1273,] 0.43865597 0.1794501695 2.447048e-02
## [1274,] 0.44409385 0.2114732637 3.356718e-02
## [1275,] 0.42415495 0.3063341278 7.374710e-02
## [1276,] 0.27551945 0.4362391326 2.302373e-01
## [1277,] 0.44409385 0.2114732637 3.356718e-02
## [1278,] 0.43865597 0.1794501695 2.447048e-02
## [1279,] 0.34037125 0.0654560102 4.195898e-03
## [1280,] 0.34934628 0.3975319727 1.507880e-01
## [1281,] 0.29109043 0.4308138364 2.125348e-01
## [1282,] 0.44435820 0.2275981001 3.885821e-02
## [1283,] 0.43623913 0.2755194522 5.800410e-02
## [1284,] 0.41709325 0.1331148669 1.416116e-02
## [1285,] 0.44308684 0.2436977611 4.467792e-02
## [1286,] 0.44308684 0.2436977611 4.467792e-02
## [1287,] 0.34934628 0.3975319727 1.507880e-01
## [1288,] 0.01168138 0.1693800141 8.186701e-01
## [1289,] 0.25969672 0.4403553087 2.488965e-01
## [1290,] 0.26654443 0.0339238361 1.439193e-03
## [1291,] 0.31822950 0.0540389715 3.058810e-03
## [1292,] 0.41709325 0.1331148669 1.416116e-02
## [1293,] 0.42616898 0.1482326877 1.718640e-02
## [1294,] 0.39753197 0.3493462791 1.023338e-01
## [1295,] 0.39289970 0.1042386963 9.218388e-03
## [1296,] 0.40743849 0.3355375785 9.210835e-02
## [1297,] 0.39753197 0.3493462791 1.023338e-01
## [1298,] 0.37500000 0.3750000000 1.250000e-01
## [1299,] 0.34934628 0.3975319727 1.507880e-01
## [1300,] 0.39289970 0.1042386963 9.218388e-03
## [1301,] 0.38669397 0.3625255950 1.132892e-01
## [1302,] 0.30633413 0.4241549461 1.957638e-01
## [1303,] 0.27551945 0.4362391326 2.302373e-01
## [1304,] 0.40602867 0.1184250277 1.151354e-02
## [1305,] 0.21147326 0.4440938538 3.108657e-01
## [1306,] 0.43623913 0.2755194522 5.800410e-02
## [1307,] 0.40743849 0.3355375785 9.210835e-02
## [1308,] 0.32117502 0.4163379880 1.798991e-01
## [1309,] 0.40602867 0.1184250277 1.151354e-02
## [1310,] 0.37763083 0.0906313987 7.250512e-03
## [1311,] 0.36252559 0.3866939680 1.374912e-01
## [1312,] 0.44308684 0.2436977611 4.467792e-02
## [1313,] 0.29109043 0.4308138364 2.125348e-01
## [1314,] 0.43333138 0.1637029640 2.061445e-02
## [1315,] 0.41709325 0.1331148669 1.416116e-02
## [1316,] 0.44409385 0.2114732637 3.356718e-02
## [1317,] 0.43623913 0.2755194522 5.800410e-02
## [1318,] 0.41633799 0.3211750193 8.258786e-02
## [1319,] 0.37763083 0.0906313987 7.250512e-03
## [1320,] 0.42616898 0.1482326877 1.718640e-02
## [1321,] 0.43081384 0.2910904300 6.556091e-02
## [1322,] 0.24369776 0.4430868383 2.685375e-01
## [1323,] 0.42415495 0.3063341278 7.374710e-02
## [1324,] 0.34037125 0.0654560102 4.195898e-03
## [1325,] 0.44221829 0.1953987782 2.877966e-02
## [1326,] 0.27551945 0.4362391326 2.302373e-01
## [1327,] 0.44409385 0.2114732637 3.356718e-02
## [1328,] 0.44035531 0.2596967205 5.105149e-02
## [1329,] 0.17945017 0.4386559699 3.574234e-01
## [1330,] 0.44308684 0.2436977611 4.467792e-02
## [1331,] 0.34934628 0.3975319727 1.507880e-01
## [1332,] 0.44035531 0.2596967205 5.105149e-02
## [1333,] 0.33553758 0.4074384881 1.649156e-01
## [1334,] 0.31822950 0.0540389715 3.058810e-03
## [1335,] 0.33553758 0.4074384881 1.649156e-01
## [1336,] 0.34934628 0.3975319727 1.507880e-01
## [1337,] 0.34934628 0.3975319727 1.507880e-01
## [1338,] 0.34037125 0.0654560102 4.195898e-03
## [1339,] 0.37500000 0.3750000000 1.250000e-01
## [1340,] 0.19539878 0.4422182874 3.336033e-01
## [1341,] 0.38669397 0.3625255950 1.132892e-01
## [1342,] 0.39289970 0.1042386963 9.218388e-03
## [1343,] 0.32117502 0.4163379880 1.798991e-01
## [1344,] 0.37500000 0.3750000000 1.250000e-01
## [1345,] 0.38669397 0.3625255950 1.132892e-01
## [1346,] 0.42415495 0.3063341278 7.374710e-02
## [1347,] 0.20448709 0.0179374643 5.244873e-04
## [1348,] 0.43623913 0.2755194522 5.800410e-02
## [1349,] 0.40602867 0.1184250277 1.151354e-02
## [1350,] 0.43081384 0.2910904300 6.556091e-02
## [1351,] 0.29364573 0.0435030714 2.148300e-03
## [1352,] 0.10423870 0.3928997013 4.936432e-01
## [1353,] 0.39289970 0.1042386963 9.218388e-03
## [1354,] 0.37500000 0.3750000000 1.250000e-01
## [1355,] 0.36014652 0.0776786613 5.584740e-03
## [1356,] 0.44035531 0.2596967205 5.105149e-02
## [1357,] 0.44435820 0.2275981001 3.885821e-02
## [1358,] 0.43081384 0.2910904300 6.556091e-02
## [1359,] 0.43865597 0.1794501695 2.447048e-02
## [1360,] 0.24369776 0.4430868383 2.685375e-01
## [1361,] 0.41633799 0.3211750193 8.258786e-02
## [1362,] 0.13145329 0.0066840657 1.132892e-04
## [1363,] 0.44435820 0.2275981001 3.885821e-02
## [1364,] 0.34037125 0.0654560102 4.195898e-03
## [1365,] 0.30633413 0.4241549461 1.957638e-01
## [1366,] 0.23685006 0.0253767916 9.063140e-04
## [1367,] 0.25969672 0.4403553087 2.488965e-01
## [1368,] 0.39753197 0.3493462791 1.023338e-01
## [1369,] 0.42415495 0.3063341278 7.374710e-02
## [1370,] 0.40602867 0.1184250277 1.151354e-02
## [1371,] 0.44435820 0.2275981001 3.885821e-02
## [1372,] 0.43623913 0.2755194522 5.800410e-02
## [1373,] 0.23685006 0.0253767916 9.063140e-04
## [1374,] 0.41709325 0.1331148669 1.416116e-02
## [1375,] 0.34037125 0.0654560102 4.195898e-03
## [1376,] 0.16938001 0.0116813803 2.685375e-04
## [1377,] 0.44221829 0.1953987782 2.877966e-02
## [1378,] 0.00000000 0.0000000000 0.000000e+00
## [1379,] 0.44221829 0.1953987782 2.877966e-02
## [1380,] 0.43081384 0.2910904300 6.556091e-02
## [1381,] 0.37500000 0.3750000000 1.250000e-01
## [1382,] 0.33553758 0.4074384881 1.649156e-01
## [1383,] 0.42616898 0.1482326877 1.718640e-02
## [1384,] 0.43333138 0.1637029640 2.061445e-02
## [1385,] 0.42616898 0.1482326877 1.718640e-02
## [1386,] 0.36252559 0.3866939680 1.374912e-01
## [1387,] 0.36252559 0.3866939680 1.374912e-01
## [1388,] 0.29109043 0.4308138364 2.125348e-01
## [1389,] 0.27551945 0.4362391326 2.302373e-01
## [1390,] 0.36252559 0.3866939680 1.374912e-01
## [1391,] 0.42415495 0.3063341278 7.374710e-02
## [1392,] 0.37763083 0.0906313987 7.250512e-03
## [1393,] 0.42616898 0.1482326877 1.718640e-02
## [1394,] 0.36252559 0.3866939680 1.374912e-01
## [1395,] 0.32117502 0.4163379880 1.798991e-01
## [1396,] 0.44308684 0.2436977611 4.467792e-02
## [1397,] 0.43865597 0.1794501695 2.447048e-02
## [1398,] 0.30633413 0.4241549461 1.957638e-01
## [1399,] 0.42415495 0.3063341278 7.374710e-02
## [1400,] 0.00000000 0.0000000000 1.000000e+00
## [1401,] 0.41633799 0.3211750193 8.258786e-02
## [1402,] 0.34934628 0.3975319727 1.507880e-01
## [1403,] 0.21147326 0.4440938538 3.108657e-01
## [1404,] 0.41709325 0.1331148669 1.416116e-02
## [1405,] 0.44221829 0.1953987782 2.877966e-02
## [1406,] 0.22759810 0.4443581954 2.891855e-01
## [1407,] 0.27551945 0.4362391326 2.302373e-01
## [1408,] 0.44221829 0.1953987782 2.877966e-02
## [1409,] 0.43865597 0.1794501695 2.447048e-02
## [1410,] 0.41633799 0.3211750193 8.258786e-02
## [1411,] 0.43865597 0.1794501695 2.447048e-02
## [1412,] 0.20448709 0.0179374643 5.244873e-04
## [1413,] 0.41709325 0.1331148669 1.416116e-02
## [1414,] 0.44221829 0.1953987782 2.877966e-02
## [1415,] 0.27551945 0.4362391326 2.302373e-01
## [1416,] 0.16938001 0.0116813803 2.685375e-04
## [1417,] 0.21147326 0.4440938538 3.108657e-01
## [1418,] 0.37763083 0.0906313987 7.250512e-03
## [1419,] 0.36252559 0.3866939680 1.374912e-01
## [1420,] 0.44409385 0.2114732637 3.356718e-02
## [1421,] 0.29109043 0.4308138364 2.125348e-01
## [1422,] 0.44435820 0.2275981001 3.885821e-02
## [1423,] 0.05403897 0.3182294988 6.246727e-01
## [1424,] 0.41709325 0.1331148669 1.416116e-02
## [1425,] 0.41633799 0.3211750193 8.258786e-02
## [1426,] 0.44035531 0.2596967205 5.105149e-02
## [1427,] 0.22759810 0.4443581954 2.891855e-01
## [1428,] 0.41709325 0.1331148669 1.416116e-02
## [1429,] 0.39753197 0.3493462791 1.023338e-01
## [1430,] 0.42616898 0.1482326877 1.718640e-02
## [1431,] 0.20448709 0.0179374643 5.244873e-04
## [1432,] 0.40602867 0.1184250277 1.151354e-02
## [1433,] 0.37763083 0.0906313987 7.250512e-03
## [1434,] 0.33553758 0.4074384881 1.649156e-01
## [1435,] 0.36252559 0.3866939680 1.374912e-01
## [1436,] 0.25969672 0.4403553087 2.488965e-01
## [1437,] 0.40743849 0.3355375785 9.210835e-02
## [1438,] 0.40602867 0.1184250277 1.151354e-02
## [1439,] 0.32117502 0.4163379880 1.798991e-01
## [1440,] 0.39289970 0.1042386963 9.218388e-03
## [1441,] 0.44221829 0.1953987782 2.877966e-02
## [1442,] 0.23685006 0.0253767916 9.063140e-04
## [1443,] 0.32117502 0.4163379880 1.798991e-01
## [1444,] 0.44435820 0.2275981001 3.885821e-02
## [1445,] 0.43865597 0.1794501695 2.447048e-02
## [1446,] 0.41633799 0.3211750193 8.258786e-02
## [1447,] 0.43081384 0.2910904300 6.556091e-02
## [1448,] 0.09063140 0.0030210466 3.356718e-05
## [1449,] 0.31822950 0.0540389715 3.058810e-03
## [1450,] 0.43333138 0.1637029640 2.061445e-02
## [1451,] 0.36252559 0.3866939680 1.374912e-01
## [1452,] 0.27551945 0.4362391326 2.302373e-01
## [1453,] 0.43333138 0.1637029640 2.061445e-02
## [1454,] 0.20448709 0.0179374643 5.244873e-04
## [1455,] 0.30633413 0.4241549461 1.957638e-01
## [1456,] 0.43081384 0.2910904300 6.556091e-02
## [1457,] 0.43623913 0.2755194522 5.800410e-02
## [1458,] 0.34934628 0.3975319727 1.507880e-01
## [1459,] 0.37500000 0.3750000000 1.250000e-01
## [1460,] 0.36252559 0.3866939680 1.374912e-01
## [1461,] 0.44409385 0.2114732637 3.356718e-02
## [1462,] 0.44035531 0.2596967205 5.105149e-02
## [1463,] 0.34934628 0.3975319727 1.507880e-01
## [1464,] 0.34934628 0.3975319727 1.507880e-01
## [1465,] 0.42415495 0.3063341278 7.374710e-02
## [1466,] 0.43081384 0.2910904300 6.556091e-02
## [1467,] 0.42616898 0.1482326877 1.718640e-02
## [1468,] 0.43081384 0.2910904300 6.556091e-02
## [1469,] 0.22759810 0.4443581954 2.891855e-01
## [1470,] 0.44308684 0.2436977611 4.467792e-02
## [1471,] 0.37500000 0.3750000000 1.250000e-01
## [1472,] 0.29109043 0.4308138364 2.125348e-01
## [1473,] 0.36014652 0.0776786613 5.584740e-03
## [1474,] 0.11842503 0.4060286664 4.640328e-01
## [1475,] 0.19539878 0.4422182874 3.336033e-01
## [1476,] 0.42616898 0.1482326877 1.718640e-02
## [1477,] 0.44035531 0.2596967205 5.105149e-02
## [1478,] 0.29364573 0.0435030714 2.148300e-03
## [1479,] 0.42415495 0.3063341278 7.374710e-02
## [1480,] 0.21147326 0.4440938538 3.108657e-01
## [1481,] 0.25969672 0.4403553087 2.488965e-01
## [1482,] 0.44221829 0.1953987782 2.877966e-02
## [1483,] 0.17945017 0.4386559699 3.574234e-01
## [1484,] 0.44308684 0.2436977611 4.467792e-02
## [1485,] 0.44435820 0.2275981001 3.885821e-02
## [1486,] 0.41633799 0.3211750193 8.258786e-02
## [1487,] 0.44035531 0.2596967205 5.105149e-02
## [1488,] 0.34037125 0.0654560102 4.195898e-03
## [1489,] 0.24369776 0.4430868383 2.685375e-01
## [1490,] 0.39753197 0.3493462791 1.023338e-01
## [1491,] 0.29364573 0.0435030714 2.148300e-03
## [1492,] 0.33553758 0.4074384881 1.649156e-01
## [1493,] 0.39289970 0.1042386963 9.218388e-03
## [1494,] 0.33553758 0.4074384881 1.649156e-01
## [1495,] 0.44409385 0.2114732637 3.356718e-02
## [1496,] 0.36014652 0.0776786613 5.584740e-03
## [1497,] 0.43623913 0.2755194522 5.800410e-02
## [1498,] 0.25969672 0.4403553087 2.488965e-01
## [1499,] 0.44435820 0.2275981001 3.885821e-02
## [1500,] 0.29364573 0.0435030714 2.148300e-03
## [1501,] 0.43623913 0.2755194522 5.800410e-02
## [1502,] 0.38669397 0.3625255950 1.132892e-01
## [1503,] 0.30633413 0.4241549461 1.957638e-01
## [1504,] 0.44221829 0.1953987782 2.877966e-02
## [1505,] 0.39289970 0.1042386963 9.218388e-03
## [1506,] 0.44035531 0.2596967205 5.105149e-02
## [1507,] 0.44221829 0.1953987782 2.877966e-02
## [1508,] 0.43081384 0.2910904300 6.556091e-02
## [1509,] 0.30633413 0.4241549461 1.957638e-01
## [1510,] 0.41633799 0.3211750193 8.258786e-02
## [1511,] 0.13145329 0.0066840657 1.132892e-04
## [1512,] 0.22759810 0.4443581954 2.891855e-01
## [1513,] 0.41709325 0.1331148669 1.416116e-02
## [1514,] 0.41633799 0.3211750193 8.258786e-02
## [1515,] 0.32117502 0.4163379880 1.798991e-01
## [1516,] 0.16370296 0.4333313752 3.823512e-01
## [1517,] 0.27551945 0.4362391326 2.302373e-01
## [1518,] 0.13145329 0.0066840657 1.132892e-04
## [1519,] 0.44435820 0.2275981001 3.885821e-02
## [1520,] 0.37763083 0.0906313987 7.250512e-03
## [1521,] 0.43623913 0.2755194522 5.800410e-02
## [1522,] 0.44308684 0.2436977611 4.467792e-02
## [1523,] 0.39753197 0.3493462791 1.023338e-01
## [1524,] 0.43081384 0.2910904300 6.556091e-02
## [1525,] 0.43623913 0.2755194522 5.800410e-02
## [1526,] 0.44435820 0.2275981001 3.885821e-02
## [1527,] 0.21147326 0.4440938538 3.108657e-01
## [1528,] 0.25969672 0.4403553087 2.488965e-01
## [1529,] 0.37500000 0.3750000000 1.250000e-01
## [1530,] 0.41709325 0.1331148669 1.416116e-02
## [1531,] 0.22759810 0.4443581954 2.891855e-01
## [1532,] 0.34037125 0.0654560102 4.195898e-03
## [1533,] 0.37500000 0.3750000000 1.250000e-01
## [1534,] 0.43865597 0.1794501695 2.447048e-02
## [1535,] 0.29364573 0.0435030714 2.148300e-03
## [1536,] 0.16938001 0.0116813803 2.685375e-04
## [1537,] 0.39753197 0.3493462791 1.023338e-01
## [1538,] 0.22759810 0.4443581954 2.891855e-01
## [1539,] 0.44035531 0.2596967205 5.105149e-02
## [1540,] 0.40602867 0.1184250277 1.151354e-02
## [1541,] 0.41633799 0.3211750193 8.258786e-02
## [1542,] 0.44435820 0.2275981001 3.885821e-02
## [1543,] 0.14823269 0.4261689772 4.084119e-01
## [1544,] 0.43865597 0.1794501695 2.447048e-02
## [1545,] 0.19539878 0.4422182874 3.336033e-01
## [1546,] 0.33553758 0.4074384881 1.649156e-01
## [1547,] 0.43865597 0.1794501695 2.447048e-02
## [1548,] 0.44435820 0.2275981001 3.885821e-02
## [1549,] 0.37500000 0.3750000000 1.250000e-01
## [1550,] 0.44308684 0.2436977611 4.467792e-02
## [1551,] 0.37500000 0.3750000000 1.250000e-01
## [1552,] 0.22759810 0.4443581954 2.891855e-01
## [1553,] 0.44435820 0.2275981001 3.885821e-02
## [1554,] 0.34934628 0.3975319727 1.507880e-01
## [1555,] 0.16370296 0.4333313752 3.823512e-01
## [1556,] 0.32117502 0.4163379880 1.798991e-01
## [1557,] 0.26654443 0.0339238361 1.439193e-03
## [1558,] 0.43865597 0.1794501695 2.447048e-02
## [1559,] 0.04683881 0.0007678494 4.195898e-06
## [1560,] 0.39753197 0.3493462791 1.023338e-01
## [1561,] 0.44308684 0.2436977611 4.467792e-02
## [1562,] 0.44409385 0.2114732637 3.356718e-02
## [1563,] 0.16370296 0.4333313752 3.823512e-01
## [1564,] 0.41633799 0.3211750193 8.258786e-02
## [1565,] 0.40602867 0.1184250277 1.151354e-02
## [1566,] 0.44221829 0.1953987782 2.877966e-02
## [1567,] 0.44035531 0.2596967205 5.105149e-02
## [1568,] 0.44435820 0.2275981001 3.885821e-02
## [1569,] 0.44308684 0.2436977611 4.467792e-02
## [1570,] 0.41709325 0.1331148669 1.416116e-02
## [1571,] 0.43333138 0.1637029640 2.061445e-02
## [1572,] 0.16370296 0.4333313752 3.823512e-01
## [1573,] 0.41633799 0.3211750193 8.258786e-02
## [1574,] 0.39289970 0.1042386963 9.218388e-03
## [1575,] 0.11842503 0.4060286664 4.640328e-01
## [1576,] 0.41633799 0.3211750193 8.258786e-02
## [1577,] 0.39753197 0.3493462791 1.023338e-01
## [1578,] 0.43333138 0.1637029640 2.061445e-02
## [1579,] 0.33553758 0.4074384881 1.649156e-01
## [1580,] 0.17945017 0.4386559699 3.574234e-01
## [1581,] 0.39753197 0.3493462791 1.023338e-01
## [1582,] 0.38669397 0.3625255950 1.132892e-01
## [1583,] 0.29109043 0.4308138364 2.125348e-01
## [1584,] 0.14823269 0.4261689772 4.084119e-01
## [1585,] 0.36014652 0.0776786613 5.584740e-03
## [1586,] 0.44035531 0.2596967205 5.105149e-02
## [1587,] 0.24369776 0.4430868383 2.685375e-01
## [1588,] 0.44035531 0.2596967205 5.105149e-02
## [1589,] 0.42616898 0.1482326877 1.718640e-02
## [1590,] 0.43081384 0.2910904300 6.556091e-02
## [1591,] 0.20448709 0.0179374643 5.244873e-04
## [1592,] 0.44308684 0.2436977611 4.467792e-02
## [1593,] 0.40743849 0.3355375785 9.210835e-02
## [1594,] 0.43333138 0.1637029640 2.061445e-02
## [1595,] 0.39753197 0.3493462791 1.023338e-01
## [1596,] 0.42616898 0.1482326877 1.718640e-02
## [1597,] 0.25969672 0.4403553087 2.488965e-01
## [1598,] 0.40602867 0.1184250277 1.151354e-02
## [1599,] 0.29109043 0.4308138364 2.125348e-01
## [1600,] 0.16938001 0.0116813803 2.685375e-04
## [1601,] 0.31822950 0.0540389715 3.058810e-03
## [1602,] 0.42616898 0.1482326877 1.718640e-02
## [1603,] 0.38669397 0.3625255950 1.132892e-01
## [1604,] 0.20448709 0.0179374643 5.244873e-04
## [1605,] 0.43333138 0.1637029640 2.061445e-02
## [1606,] 0.36252559 0.3866939680 1.374912e-01
## [1607,] 0.29109043 0.4308138364 2.125348e-01
## [1608,] 0.39753197 0.3493462791 1.023338e-01
## [1609,] 0.16938001 0.0116813803 2.685375e-04
## [1610,] 0.43623913 0.2755194522 5.800410e-02
## [1611,] 0.39753197 0.3493462791 1.023338e-01
## [1612,] 0.38669397 0.3625255950 1.132892e-01
## [1613,] 0.34037125 0.0654560102 4.195898e-03
## [1614,] 0.37500000 0.3750000000 1.250000e-01
## [1615,] 0.34934628 0.3975319727 1.507880e-01
## [1616,] 0.29109043 0.4308138364 2.125348e-01
## [1617,] 0.37500000 0.3750000000 1.250000e-01
## [1618,] 0.42415495 0.3063341278 7.374710e-02
## [1619,] 0.26654443 0.0339238361 1.439193e-03
## [1620,] 0.03392384 0.2665444262 6.980925e-01
## [1621,] 0.33553758 0.4074384881 1.649156e-01
## [1622,] 0.34037125 0.0654560102 4.195898e-03
## [1623,] 0.34934628 0.3975319727 1.507880e-01
## [1624,] 0.42415495 0.3063341278 7.374710e-02
## [1625,] 0.42415495 0.3063341278 7.374710e-02
## [1626,] 0.36014652 0.0776786613 5.584740e-03
## [1627,] 0.38669397 0.3625255950 1.132892e-01
## [1628,] 0.44308684 0.2436977611 4.467792e-02
## [1629,] 0.38669397 0.3625255950 1.132892e-01
## [1630,] 0.07767866 0.3601465208 5.565901e-01
## [1631,] 0.38669397 0.3625255950 1.132892e-01
## [1632,] 0.03392384 0.2665444262 6.980925e-01
## [1633,] 0.37763083 0.0906313987 7.250512e-03
## [1634,] 0.44035531 0.2596967205 5.105149e-02
## [1635,] 0.38669397 0.3625255950 1.132892e-01
## [1636,] 0.44308684 0.2436977611 4.467792e-02
## [1637,] 0.30633413 0.4241549461 1.957638e-01
## [1638,] 0.41709325 0.1331148669 1.416116e-02
## [1639,] 0.43623913 0.2755194522 5.800410e-02
## [1640,] 0.39289970 0.1042386963 9.218388e-03
## [1641,] 0.42415495 0.3063341278 7.374710e-02
## [1642,] 0.41633799 0.3211750193 8.258786e-02
## [1643,] 0.44308684 0.2436977611 4.467792e-02
## [1644,] 0.04683881 0.0007678494 4.195898e-06
## [1645,] 0.27551945 0.4362391326 2.302373e-01
## [1646,] 0.29109043 0.4308138364 2.125348e-01
## [1647,] 0.22759810 0.4443581954 2.891855e-01
## [1648,] 0.37500000 0.3750000000 1.250000e-01
## [1649,] 0.42616898 0.1482326877 1.718640e-02
## [1650,] 0.39753197 0.3493462791 1.023338e-01
## [1651,] 0.41709325 0.1331148669 1.416116e-02
## [1652,] 0.43333138 0.1637029640 2.061445e-02
## [1653,] 0.44308684 0.2436977611 4.467792e-02
## [1654,] 0.32117502 0.4163379880 1.798991e-01
## [1655,] 0.39753197 0.3493462791 1.023338e-01
## [1656,] 0.41633799 0.3211750193 8.258786e-02
## [1657,] 0.42616898 0.1482326877 1.718640e-02
## [1658,] 0.26654443 0.0339238361 1.439193e-03
## [1659,] 0.27551945 0.4362391326 2.302373e-01
## [1660,] 0.30633413 0.4241549461 1.957638e-01
## [1661,] 0.44035531 0.2596967205 5.105149e-02
## [1662,] 0.40743849 0.3355375785 9.210835e-02
## [1663,] 0.42415495 0.3063341278 7.374710e-02
## [1664,] 0.40743849 0.3355375785 9.210835e-02
## [1665,] 0.44409385 0.2114732637 3.356718e-02
## [1666,] 0.43865597 0.1794501695 2.447048e-02
## [1667,] 0.33553758 0.4074384881 1.649156e-01
## [1668,] 0.44435820 0.2275981001 3.885821e-02
## [1669,] 0.16938001 0.0116813803 2.685375e-04
## [1670,] 0.32117502 0.4163379880 1.798991e-01
## [1671,] 0.43865597 0.1794501695 2.447048e-02
## [1672,] 0.44221829 0.1953987782 2.877966e-02
## [1673,] 0.44308684 0.2436977611 4.467792e-02
## [1674,] 0.34934628 0.3975319727 1.507880e-01
## [1675,] 0.27551945 0.4362391326 2.302373e-01
## [1676,] 0.36252559 0.3866939680 1.374912e-01
## [1677,] 0.38669397 0.3625255950 1.132892e-01
## [1678,] 0.38669397 0.3625255950 1.132892e-01
## [1679,] 0.40602867 0.1184250277 1.151354e-02
## [1680,] 0.37763083 0.0906313987 7.250512e-03
## [1681,] 0.37763083 0.0906313987 7.250512e-03
## [1682,] 0.41709325 0.1331148669 1.416116e-02
## [1683,] 0.27551945 0.4362391326 2.302373e-01
## [1684,] 0.40743849 0.3355375785 9.210835e-02
## [1685,] 0.37500000 0.3750000000 1.250000e-01
## [1686,] 0.23685006 0.0253767916 9.063140e-04
## [1687,] 0.32117502 0.4163379880 1.798991e-01
## [1688,] 0.42616898 0.1482326877 1.718640e-02
## [1689,] 0.27551945 0.4362391326 2.302373e-01
## [1690,] 0.38669397 0.3625255950 1.132892e-01
## [1691,] 0.39753197 0.3493462791 1.023338e-01
## [1692,] 0.33553758 0.4074384881 1.649156e-01
## [1693,] 0.44308684 0.2436977611 4.467792e-02
## [1694,] 0.44308684 0.2436977611 4.467792e-02
## [1695,] 0.16938001 0.0116813803 2.685375e-04
## [1696,] 0.38669397 0.3625255950 1.132892e-01
## [1697,] 0.40743849 0.3355375785 9.210835e-02
## [1698,] 0.42616898 0.1482326877 1.718640e-02
## [1699,] 0.40602867 0.1184250277 1.151354e-02
## [1700,] 0.32117502 0.4163379880 1.798991e-01
## [1701,] 0.40602867 0.1184250277 1.151354e-02
## [1702,] 0.44435820 0.2275981001 3.885821e-02
## [1703,] 0.34934628 0.3975319727 1.507880e-01
## [1704,] 0.11842503 0.4060286664 4.640328e-01
## [1705,] 0.44308684 0.2436977611 4.467792e-02
## [1706,] 0.33553758 0.4074384881 1.649156e-01
## [1707,] 0.43865597 0.1794501695 2.447048e-02
## [1708,] 0.39753197 0.3493462791 1.023338e-01
## [1709,] 0.37500000 0.3750000000 1.250000e-01
## [1710,] 0.32117502 0.4163379880 1.798991e-01
## [1711,] 0.11842503 0.4060286664 4.640328e-01
## [1712,] 0.41709325 0.1331148669 1.416116e-02
## [1713,] 0.24369776 0.4430868383 2.685375e-01
## [1714,] 0.44035531 0.2596967205 5.105149e-02
## [1715,] 0.30633413 0.4241549461 1.957638e-01
## [1716,] 0.29364573 0.0435030714 2.148300e-03
## [1717,] 0.23685006 0.0253767916 9.063140e-04
## [1718,] 0.17945017 0.4386559699 3.574234e-01
## [1719,] 0.16370296 0.4333313752 3.823512e-01
## [1720,] 0.29364573 0.0435030714 2.148300e-03
## [1721,] 0.20448709 0.0179374643 5.244873e-04
## [1722,] 0.39289970 0.1042386963 9.218388e-03
## [1723,] 0.43081384 0.2910904300 6.556091e-02
## [1724,] 0.38669397 0.3625255950 1.132892e-01
## [1725,] 0.41633799 0.3211750193 8.258786e-02
## [1726,] 0.38669397 0.3625255950 1.132892e-01
## [1727,] 0.16370296 0.4333313752 3.823512e-01
## [1728,] 0.07767866 0.3601465208 5.565901e-01
## [1729,] 0.39289970 0.1042386963 9.218388e-03
## [1730,] 0.44409385 0.2114732637 3.356718e-02
## [1731,] 0.43081384 0.2910904300 6.556091e-02
## [1732,] 0.04683881 0.0007678494 4.195898e-06
## [1733,] 0.29364573 0.0435030714 2.148300e-03
## [1734,] 0.44221829 0.1953987782 2.877966e-02
## [1735,] 0.37763083 0.0906313987 7.250512e-03
## [1736,] 0.13311487 0.4170932496 4.356307e-01
## [1737,] 0.30633413 0.4241549461 1.957638e-01
## [1738,] 0.27551945 0.4362391326 2.302373e-01
## [1739,] 0.38669397 0.3625255950 1.132892e-01
## [1740,] 0.44221829 0.1953987782 2.877966e-02
## [1741,] 0.40743849 0.3355375785 9.210835e-02
## [1742,] 0.44221829 0.1953987782 2.877966e-02
## [1743,] 0.24369776 0.4430868383 2.685375e-01
## [1744,] 0.33553758 0.4074384881 1.649156e-01
## [1745,] 0.41633799 0.3211750193 8.258786e-02
## [1746,] 0.34934628 0.3975319727 1.507880e-01
## [1747,] 0.36252559 0.3866939680 1.374912e-01
## [1748,] 0.43623913 0.2755194522 5.800410e-02
## [1749,] 0.40743849 0.3355375785 9.210835e-02
## [1750,] 0.43081384 0.2910904300 6.556091e-02
## [1751,] 0.39753197 0.3493462791 1.023338e-01
## [1752,] 0.42415495 0.3063341278 7.374710e-02
## [1753,] 0.43865597 0.1794501695 2.447048e-02
## [1754,] 0.36014652 0.0776786613 5.584740e-03
## [1755,] 0.44308684 0.2436977611 4.467792e-02
## [1756,] 0.09063140 0.0030210466 3.356718e-05
## [1757,] 0.40602867 0.1184250277 1.151354e-02
## [1758,] 0.34037125 0.0654560102 4.195898e-03
## [1759,] 0.44035531 0.2596967205 5.105149e-02
## [1760,] 0.30633413 0.4241549461 1.957638e-01
## [1761,] 0.04683881 0.0007678494 4.195898e-06
## [1762,] 0.22759810 0.4443581954 2.891855e-01
## [1763,] 0.37763083 0.0906313987 7.250512e-03
## [1764,] 0.23685006 0.0253767916 9.063140e-04
## [1765,] 0.29364573 0.0435030714 2.148300e-03
## [1766,] 0.44435820 0.2275981001 3.885821e-02
## [1767,] 0.38669397 0.3625255950 1.132892e-01
## [1768,] 0.43623913 0.2755194522 5.800410e-02
## [1769,] 0.42415495 0.3063341278 7.374710e-02
## [1770,] 0.26654443 0.0339238361 1.439193e-03
## [1771,] 0.40743849 0.3355375785 9.210835e-02
## [1772,] 0.33553758 0.4074384881 1.649156e-01
## [1773,] 0.41709325 0.1331148669 1.416116e-02
## [1774,] 0.44409385 0.2114732637 3.356718e-02
## [1775,] 0.36014652 0.0776786613 5.584740e-03
## [1776,] 0.25969672 0.4403553087 2.488965e-01
## [1777,] 0.36252559 0.3866939680 1.374912e-01
## [1778,] 0.20448709 0.0179374643 5.244873e-04
## [1779,] 0.40743849 0.3355375785 9.210835e-02
## [1780,] 0.19539878 0.4422182874 3.336033e-01
## [1781,] 0.22759810 0.4443581954 2.891855e-01
## [1782,] 0.25969672 0.4403553087 2.488965e-01
## [1783,] 0.26654443 0.0339238361 1.439193e-03
## [1784,] 0.33553758 0.4074384881 1.649156e-01
## [1785,] 0.42415495 0.3063341278 7.374710e-02
## [1786,] 0.44308684 0.2436977611 4.467792e-02
## [1787,] 0.43081384 0.2910904300 6.556091e-02
## [1788,] 0.34934628 0.3975319727 1.507880e-01
## [1789,] 0.43623913 0.2755194522 5.800410e-02
## [1790,] 0.34037125 0.0654560102 4.195898e-03
## [1791,] 0.30633413 0.4241549461 1.957638e-01
## [1792,] 0.42616898 0.1482326877 1.718640e-02
## [1793,] 0.36252559 0.3866939680 1.374912e-01
## [1794,] 0.43865597 0.1794501695 2.447048e-02
## [1795,] 0.05403897 0.3182294988 6.246727e-01
## [1796,] 0.39289970 0.1042386963 9.218388e-03
## [1797,] 0.09063140 0.0030210466 3.356718e-05
## [1798,] 0.20448709 0.0179374643 5.244873e-04
## [1799,] 0.44035531 0.2596967205 5.105149e-02
## [1800,] 0.31822950 0.0540389715 3.058810e-03
## [1801,] 0.36014652 0.0776786613 5.584740e-03
## [1802,] 0.44035531 0.2596967205 5.105149e-02
## [1803,] 0.44035531 0.2596967205 5.105149e-02
## [1804,] 0.16938001 0.0116813803 2.685375e-04
## [1805,] 0.44435820 0.2275981001 3.885821e-02
## [1806,] 0.37500000 0.3750000000 1.250000e-01
## [1807,] 0.44409385 0.2114732637 3.356718e-02
## [1808,] 0.29109043 0.4308138364 2.125348e-01
## [1809,] 0.33553758 0.4074384881 1.649156e-01
## [1810,] 0.37763083 0.0906313987 7.250512e-03
## [1811,] 0.27551945 0.4362391326 2.302373e-01
## [1812,] 0.40743849 0.3355375785 9.210835e-02
## [1813,] 0.43081384 0.2910904300 6.556091e-02
## [1814,] 0.09063140 0.3776308281 5.244873e-01
## [1815,] 0.33553758 0.4074384881 1.649156e-01
## [1816,] 0.44435820 0.2275981001 3.885821e-02
## [1817,] 0.11842503 0.4060286664 4.640328e-01
## [1818,] 0.37763083 0.0906313987 7.250512e-03
## [1819,] 0.37763083 0.0906313987 7.250512e-03
## [1820,] 0.30633413 0.4241549461 1.957638e-01
## [1821,] 0.32117502 0.4163379880 1.798991e-01
## [1822,] 0.39289970 0.1042386963 9.218388e-03
## [1823,] 0.00000000 0.0000000000 0.000000e+00
## [1824,] 0.44435820 0.2275981001 3.885821e-02
## [1825,] 0.44308684 0.2436977611 4.467792e-02
## [1826,] 0.44221829 0.1953987782 2.877966e-02
## [1827,] 0.23685006 0.0253767916 9.063140e-04
## [1828,] 0.31822950 0.0540389715 3.058810e-03
## [1829,] 0.42415495 0.3063341278 7.374710e-02
## [1830,] 0.40743849 0.3355375785 9.210835e-02
## [1831,] 0.44308684 0.2436977611 4.467792e-02
## [1832,] 0.44435820 0.2275981001 3.885821e-02
## [1833,] 0.43623913 0.2755194522 5.800410e-02
## [1834,] 0.44221829 0.1953987782 2.877966e-02
## [1835,] 0.24369776 0.4430868383 2.685375e-01
## [1836,] 0.44308684 0.2436977611 4.467792e-02
## [1837,] 0.31822950 0.0540389715 3.058810e-03
## [1838,] 0.39289970 0.1042386963 9.218388e-03
## [1839,] 0.44409385 0.2114732637 3.356718e-02
## [1840,] 0.42616898 0.1482326877 1.718640e-02
## [1841,] 0.44035531 0.2596967205 5.105149e-02
## [1842,] 0.09063140 0.0030210466 3.356718e-05
## [1843,] 0.34037125 0.0654560102 4.195898e-03
## [1844,] 0.41709325 0.1331148669 1.416116e-02
## [1845,] 0.43081384 0.2910904300 6.556091e-02
## [1846,] 0.29109043 0.4308138364 2.125348e-01
## [1847,] 0.44221829 0.1953987782 2.877966e-02
## [1848,] 0.26654443 0.0339238361 1.439193e-03
## [1849,] 0.41633799 0.3211750193 8.258786e-02
## [1850,] 0.44308684 0.2436977611 4.467792e-02
## [1851,] 0.43081384 0.2910904300 6.556091e-02
## [1852,] 0.44409385 0.2114732637 3.356718e-02
## [1853,] 0.42415495 0.3063341278 7.374710e-02
## [1854,] 0.04683881 0.0007678494 4.195898e-06
## [1855,] 0.29364573 0.0435030714 2.148300e-03
## [1856,] 0.30633413 0.4241549461 1.957638e-01
## [1857,] 0.37500000 0.3750000000 1.250000e-01
## [1858,] 0.43333138 0.1637029640 2.061445e-02
## [1859,] 0.42616898 0.1482326877 1.718640e-02
## [1860,] 0.21147326 0.4440938538 3.108657e-01
## [1861,] 0.39289970 0.1042386963 9.218388e-03
## [1862,] 0.39753197 0.3493462791 1.023338e-01
## [1863,] 0.38669397 0.3625255950 1.132892e-01
## [1864,] 0.38669397 0.3625255950 1.132892e-01
## [1865,] 0.43333138 0.1637029640 2.061445e-02
## [1866,] 0.29109043 0.4308138364 2.125348e-01
## [1867,] 0.43333138 0.1637029640 2.061445e-02
## [1868,] 0.44221829 0.1953987782 2.877966e-02
## [1869,] 0.33553758 0.4074384881 1.649156e-01
## [1870,] 0.39753197 0.3493462791 1.023338e-01
## [1871,] 0.29364573 0.0435030714 2.148300e-03
## [1872,] 0.44035531 0.2596967205 5.105149e-02
## [1873,] 0.16938001 0.0116813803 2.685375e-04
## [1874,] 0.01168138 0.1693800141 8.186701e-01
## [1875,] 0.40743849 0.3355375785 9.210835e-02
## [1876,] 0.44435820 0.2275981001 3.885821e-02
## [1877,] 0.44435820 0.2275981001 3.885821e-02
## [1878,] 0.20448709 0.0179374643 5.244873e-04
## [1879,] 0.37500000 0.3750000000 1.250000e-01
## [1880,] 0.09063140 0.0030210466 3.356718e-05
## [1881,] 0.40743849 0.3355375785 9.210835e-02
## [1882,] 0.43081384 0.2910904300 6.556091e-02
## [1883,] 0.16370296 0.4333313752 3.823512e-01
## [1884,] 0.42415495 0.3063341278 7.374710e-02
## [1885,] 0.24369776 0.4430868383 2.685375e-01
## [1886,] 0.36252559 0.3866939680 1.374912e-01
## [1887,] 0.43333138 0.1637029640 2.061445e-02
## [1888,] 0.44409385 0.2114732637 3.356718e-02
## [1889,] 0.43865597 0.1794501695 2.447048e-02
## [1890,] 0.27551945 0.4362391326 2.302373e-01
## [1891,] 0.29364573 0.0435030714 2.148300e-03
## [1892,] 0.29364573 0.0435030714 2.148300e-03
## [1893,] 0.39753197 0.3493462791 1.023338e-01
## [1894,] 0.26654443 0.0339238361 1.439193e-03
## [1895,] 0.25969672 0.4403553087 2.488965e-01
## [1896,] 0.42415495 0.3063341278 7.374710e-02
## [1897,] 0.36014652 0.0776786613 5.584740e-03
## [1898,] 0.44221829 0.1953987782 2.877966e-02
## [1899,] 0.10423870 0.3928997013 4.936432e-01
## [1900,] 0.42616898 0.1482326877 1.718640e-02
## [1901,] 0.44409385 0.2114732637 3.356718e-02
## [1902,] 0.29109043 0.4308138364 2.125348e-01
## [1903,] 0.31822950 0.0540389715 3.058810e-03
## [1904,] 0.29109043 0.4308138364 2.125348e-01
## [1905,] 0.37500000 0.3750000000 1.250000e-01
## [1906,] 0.43623913 0.2755194522 5.800410e-02
## [1907,] 0.44435820 0.2275981001 3.885821e-02
## [1908,] 0.40602867 0.1184250277 1.151354e-02
## [1909,] 0.44435820 0.2275981001 3.885821e-02
## [1910,] 0.36252559 0.3866939680 1.374912e-01
## [1911,] 0.44308684 0.2436977611 4.467792e-02
## [1912,] 0.32117502 0.4163379880 1.798991e-01
## [1913,] 0.30633413 0.4241549461 1.957638e-01
## [1914,] 0.34934628 0.3975319727 1.507880e-01
## [1915,] 0.41709325 0.1331148669 1.416116e-02
## [1916,] 0.37763083 0.0906313987 7.250512e-03
## [1917,] 0.44308684 0.2436977611 4.467792e-02
## [1918,] 0.37500000 0.3750000000 1.250000e-01
## [1919,] 0.42415495 0.3063341278 7.374710e-02
## [1920,] 0.40602867 0.1184250277 1.151354e-02
## [1921,] 0.42616898 0.1482326877 1.718640e-02
## [1922,] 0.43865597 0.1794501695 2.447048e-02
## [1923,] 0.34934628 0.3975319727 1.507880e-01
## [1924,] 0.43623913 0.2755194522 5.800410e-02
## [1925,] 0.21147326 0.4440938538 3.108657e-01
## [1926,] 0.43865597 0.1794501695 2.447048e-02
## [1927,] 0.39753197 0.3493462791 1.023338e-01
## [1928,] 0.21147326 0.4440938538 3.108657e-01
## [1929,] 0.16938001 0.0116813803 2.685375e-04
## [1930,] 0.27551945 0.4362391326 2.302373e-01
## [1931,] 0.41633799 0.3211750193 8.258786e-02
## [1932,] 0.33553758 0.4074384881 1.649156e-01
## [1933,] 0.37763083 0.0906313987 7.250512e-03
## [1934,] 0.20448709 0.0179374643 5.244873e-04
## [1935,] 0.38669397 0.3625255950 1.132892e-01
## [1936,] 0.42415495 0.3063341278 7.374710e-02
## [1937,] 0.17945017 0.4386559699 3.574234e-01
## [1938,] 0.41709325 0.1331148669 1.416116e-02
## [1939,] 0.34934628 0.3975319727 1.507880e-01
## [1940,] 0.34934628 0.3975319727 1.507880e-01
## [1941,] 0.39753197 0.3493462791 1.023338e-01
## [1942,] 0.42616898 0.1482326877 1.718640e-02
## [1943,] 0.43081384 0.2910904300 6.556091e-02
## [1944,] 0.22759810 0.4443581954 2.891855e-01
## [1945,] 0.32117502 0.4163379880 1.798991e-01
## [1946,] 0.40602867 0.1184250277 1.151354e-02
## [1947,] 0.38669397 0.3625255950 1.132892e-01
## [1948,] 0.44221829 0.1953987782 2.877966e-02
## [1949,] 0.09063140 0.0030210466 3.356718e-05
## [1950,] 0.40602867 0.1184250277 1.151354e-02
## [1951,] 0.44308684 0.2436977611 4.467792e-02
## [1952,] 0.38669397 0.3625255950 1.132892e-01
## [1953,] 0.27551945 0.4362391326 2.302373e-01
## [1954,] 0.29109043 0.4308138364 2.125348e-01
## [1955,] 0.44409385 0.2114732637 3.356718e-02
## [1956,] 0.33553758 0.4074384881 1.649156e-01
## [1957,] 0.36014652 0.0776786613 5.584740e-03
## [1958,] 0.41633799 0.3211750193 8.258786e-02
## [1959,] 0.36252559 0.3866939680 1.374912e-01
## [1960,] 0.36252559 0.3866939680 1.374912e-01
## [1961,] 0.25969672 0.4403553087 2.488965e-01
## [1962,] 0.37763083 0.0906313987 7.250512e-03
## [1963,] 0.27551945 0.4362391326 2.302373e-01
## [1964,] 0.43081384 0.2910904300 6.556091e-02
## [1965,] 0.43081384 0.2910904300 6.556091e-02
## [1966,] 0.36252559 0.3866939680 1.374912e-01
## [1967,] 0.34934628 0.3975319727 1.507880e-01
## [1968,] 0.30633413 0.4241549461 1.957638e-01
## [1969,] 0.29109043 0.4308138364 2.125348e-01
## [1970,] 0.41633799 0.3211750193 8.258786e-02
## [1971,] 0.30633413 0.4241549461 1.957638e-01
## [1972,] 0.20448709 0.0179374643 5.244873e-04
## [1973,] 0.02537679 0.2368500554 7.368668e-01
## [1974,] 0.26654443 0.0339238361 1.439193e-03
## [1975,] 0.41633799 0.3211750193 8.258786e-02
## [1976,] 0.29109043 0.4308138364 2.125348e-01
## [1977,] 0.11842503 0.4060286664 4.640328e-01
## [1978,] 0.39753197 0.3493462791 1.023338e-01
## [1979,] 0.43865597 0.1794501695 2.447048e-02
## [1980,] 0.16370296 0.4333313752 3.823512e-01
## [1981,] 0.42415495 0.3063341278 7.374710e-02
## [1982,] 0.44221829 0.1953987782 2.877966e-02
## [1983,] 0.40602867 0.1184250277 1.151354e-02
## [1984,] 0.43081384 0.2910904300 6.556091e-02
## [1985,] 0.44221829 0.1953987782 2.877966e-02
## [1986,] 0.44435820 0.2275981001 3.885821e-02
## [1987,] 0.41633799 0.3211750193 8.258786e-02
## [1988,] 0.34934628 0.3975319727 1.507880e-01
## [1989,] 0.33553758 0.4074384881 1.649156e-01
## [1990,] 0.43081384 0.2910904300 6.556091e-02
## [1991,] 0.33553758 0.4074384881 1.649156e-01
## [1992,] 0.30633413 0.4241549461 1.957638e-01
## [1993,] 0.34037125 0.0654560102 4.195898e-03
## [1994,] 0.34037125 0.0654560102 4.195898e-03
## [1995,] 0.03392384 0.2665444262 6.980925e-01
## [1996,] 0.39289970 0.1042386963 9.218388e-03
## [1997,] 0.36014652 0.0776786613 5.584740e-03
## [1998,] 0.44308684 0.2436977611 4.467792e-02
## [1999,] 0.43623913 0.2755194522 5.800410e-02
## [2000,] 0.44308684 0.2436977611 4.467792e-02
## [2001,] 0.39753197 0.3493462791 1.023338e-01
## [2002,] 0.10423870 0.3928997013 4.936432e-01
## [2003,] 0.44308684 0.2436977611 4.467792e-02
## [2004,] 0.41709325 0.1331148669 1.416116e-02
## [2005,] 0.40602867 0.1184250277 1.151354e-02
## [2006,] 0.31822950 0.0540389715 3.058810e-03
## [2007,] 0.43865597 0.1794501695 2.447048e-02
## [2008,] 0.38669397 0.3625255950 1.132892e-01
## [2009,] 0.27551945 0.4362391326 2.302373e-01
## [2010,] 0.23685006 0.0253767916 9.063140e-04
## [2011,] 0.32117502 0.4163379880 1.798991e-01
## [2012,] 0.19539878 0.4422182874 3.336033e-01
## [2013,] 0.44409385 0.2114732637 3.356718e-02
## [2014,] 0.06545601 0.3403712531 5.899768e-01
## [2015,] 0.23685006 0.0253767916 9.063140e-04
## [2016,] 0.16938001 0.0116813803 2.685375e-04
## [2017,] 0.44409385 0.2114732637 3.356718e-02
## [2018,] 0.36014652 0.0776786613 5.584740e-03
## [2019,] 0.37763083 0.0906313987 7.250512e-03
## [2020,] 0.37500000 0.3750000000 1.250000e-01
## [2021,] 0.44308684 0.2436977611 4.467792e-02
## [2022,] 0.40602867 0.1184250277 1.151354e-02
## [2023,] 0.41709325 0.1331148669 1.416116e-02
## [2024,] 0.44308684 0.2436977611 4.467792e-02
## [2025,] 0.26654443 0.0339238361 1.439193e-03
## [2026,] 0.43865597 0.1794501695 2.447048e-02
## [2027,] 0.40743849 0.3355375785 9.210835e-02
## [2028,] 0.43623913 0.2755194522 5.800410e-02
## [2029,] 0.22759810 0.4443581954 2.891855e-01
## [2030,] 0.37763083 0.0906313987 7.250512e-03
## [2031,] 0.30633413 0.4241549461 1.957638e-01
## [2032,] 0.39289970 0.1042386963 9.218388e-03
## [2033,] 0.42616898 0.1482326877 1.718640e-02
## [2034,] 0.39753197 0.3493462791 1.023338e-01
## [2035,] 0.44308684 0.2436977611 4.467792e-02
## [2036,] 0.36014652 0.0776786613 5.584740e-03
## [2037,] 0.24369776 0.4430868383 2.685375e-01
## [2038,] 0.44035531 0.2596967205 5.105149e-02
## [2039,] 0.27551945 0.4362391326 2.302373e-01
## [2040,] 0.44221829 0.1953987782 2.877966e-02
## [2041,] 0.37763083 0.0906313987 7.250512e-03
## [2042,] 0.44308684 0.2436977611 4.467792e-02
## [2043,] 0.30633413 0.4241549461 1.957638e-01
## [2044,] 0.44221829 0.1953987782 2.877966e-02
## [2045,] 0.44435820 0.2275981001 3.885821e-02
## [2046,] 0.34934628 0.3975319727 1.507880e-01
## [2047,] 0.39753197 0.3493462791 1.023338e-01
## [2048,] 0.34037125 0.0654560102 4.195898e-03
## [2049,] 0.13311487 0.4170932496 4.356307e-01
## [2050,] 0.43623913 0.2755194522 5.800410e-02
## [2051,] 0.24369776 0.4430868383 2.685375e-01
## [2052,] 0.40602867 0.1184250277 1.151354e-02
## [2053,] 0.44435820 0.2275981001 3.885821e-02
## [2054,] 0.44409385 0.2114732637 3.356718e-02
## [2055,] 0.38669397 0.3625255950 1.132892e-01
## [2056,] 0.39753197 0.3493462791 1.023338e-01
## [2057,] 0.44308684 0.2436977611 4.467792e-02
## [2058,] 0.43623913 0.2755194522 5.800410e-02
## [2059,] 0.37763083 0.0906313987 7.250512e-03
## [2060,] 0.36014652 0.0776786613 5.584740e-03
## [2061,] 0.32117502 0.4163379880 1.798991e-01
## [2062,] 0.44221829 0.1953987782 2.877966e-02
## [2063,] 0.38669397 0.3625255950 1.132892e-01
## [2064,] 0.42415495 0.3063341278 7.374710e-02
## [2065,] 0.26654443 0.0339238361 1.439193e-03
## [2066,] 0.34934628 0.3975319727 1.507880e-01
## [2067,] 0.26654443 0.0339238361 1.439193e-03
## [2068,] 0.36252559 0.3866939680 1.374912e-01
## [2069,] 0.42616898 0.1482326877 1.718640e-02
## [2070,] 0.44308684 0.2436977611 4.467792e-02
## [2071,] 0.42616898 0.1482326877 1.718640e-02
## [2072,] 0.25969672 0.4403553087 2.488965e-01
## [2073,] 0.43623913 0.2755194522 5.800410e-02
## [2074,] 0.37763083 0.0906313987 7.250512e-03
## [2075,] 0.44221829 0.1953987782 2.877966e-02
## [2076,] 0.36252559 0.3866939680 1.374912e-01
## [2077,] 0.29364573 0.0435030714 2.148300e-03
## [2078,] 0.22759810 0.4443581954 2.891855e-01
## [2079,] 0.36014652 0.0776786613 5.584740e-03
## [2080,] 0.16938001 0.0116813803 2.685375e-04
## [2081,] 0.30633413 0.4241549461 1.957638e-01
## [2082,] 0.40743849 0.3355375785 9.210835e-02
## [2083,] 0.34934628 0.3975319727 1.507880e-01
## [2084,] 0.43333138 0.1637029640 2.061445e-02
## [2085,] 0.19539878 0.4422182874 3.336033e-01
## [2086,] 0.44308684 0.2436977611 4.467792e-02
## [2087,] 0.33553758 0.4074384881 1.649156e-01
## [2088,] 0.44308684 0.2436977611 4.467792e-02
## [2089,] 0.27551945 0.4362391326 2.302373e-01
## [2090,] 0.44435820 0.2275981001 3.885821e-02
## [2091,] 0.37763083 0.0906313987 7.250512e-03
## [2092,] 0.41709325 0.1331148669 1.416116e-02
## [2093,] 0.40602867 0.1184250277 1.151354e-02
## [2094,] 0.36252559 0.3866939680 1.374912e-01
## [2095,] 0.29364573 0.0435030714 2.148300e-03
## [2096,] 0.43333138 0.1637029640 2.061445e-02
## [2097,] 0.39289970 0.1042386963 9.218388e-03
## [2098,] 0.42415495 0.3063341278 7.374710e-02
## [2099,] 0.37763083 0.0906313987 7.250512e-03
## [2100,] 0.31822950 0.0540389715 3.058810e-03
## [2101,] 0.31822950 0.0540389715 3.058810e-03
## [2102,] 0.29109043 0.4308138364 2.125348e-01
## attr(,"degree")
## [1] 3
## attr(,"knots")
## numeric(0)
## attr(,"Boundary.knots")
## [1] 18 80
## attr(,"intercept")
## [1] FALSE
## attr(,"class")
## [1] "bs"     "basis"  "matrix"

PCA (Principal Components Analysis), mostly useful for linear-type models

  1. Find features which are correlated

which() returns the list of features with correlation > 0.8

library(caret)
library(kernlab)
data(spam)
set.seed(1)
inTrain<-createDataPartition(y=spam$type,p=0.75,list=FALSE)
training<-spam[inTrain,]
testing<-spam[-inTrain,]

M<-abs(cor(training[,-58]))
diag(M)<-0
which(M>0.8,arr.ind=T)
##        row col
## num415  34  32
## direct  40  32
## num857  32  34
## direct  40  34
## num857  32  40
## num415  34  40

Take a look at the correlated features:

  names(spam)[c(34,32,40)]
## [1] "num415" "num857" "direct"
  plot(spam[,34],spam[,32])

Apply PCA in R: prcomp()

smallSpam<-spam[,c(34,32)]
prComp<-prcomp(smallSpam)
plot(prComp$x[,1],prComp$x[,2])

prComp$rotation
##              PC1        PC2
## num415 0.7080625  0.7061498
## num857 0.7061498 -0.7080625

#### PCA on spam data

typeColor<-((spam$type=="spam")*1+1)
prComp<-prcomp(log10(spam[,-58]+1))
plot(prComp$x[,1],prComp$x[,2],col=typeColor,xlab="PC1",ylab="PC2")

#### PCA with caret, preProcess()

preProc<-preProcess(log10(spam[,-58]+1),method="pca",pcaComp = 2)
spamPC<-predict(preProc,log10(spam[,-58]+1))
plot(spamPC[,1],spamPC[,2],col=typeColor)

#### Preprocessing with PCA to create model based on the training set

preProc<-preProcess(log10(training[,-58]+1),method="pca",pcaComp=2)
trainPC<-predict(preProc,log10(training[,-58]+1))
modelFit <- train(x = trainPC, y = training$type,method="glm")

#### Preprocessing with PCA to use on the testing set Note that we should use the same PCA procedure (preProc) when using predict() on the testing set

testPC<-predict(preProc,log10(testing[,-58]+1))
confusionMatrix(testing$type,predict(modelFit,testPC))
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction nonspam spam
##    nonspam     654   43
##    spam         69  384
##                                          
##                Accuracy : 0.9026         
##                  95% CI : (0.884, 0.9191)
##     No Information Rate : 0.6287         
##     P-Value [Acc > NIR] : < 2e-16        
##                                          
##                   Kappa : 0.794          
##  Mcnemar's Test P-Value : 0.01816        
##                                          
##             Sensitivity : 0.9046         
##             Specificity : 0.8993         
##          Pos Pred Value : 0.9383         
##          Neg Pred Value : 0.8477         
##              Prevalence : 0.6287         
##          Detection Rate : 0.5687         
##    Detection Prevalence : 0.6061         
##       Balanced Accuracy : 0.9019         
##                                          
##        'Positive' Class : nonspam        
##

Accuracy is > 0.9!

#### Alternative: preProcess with PCA during the training process (instead of doing PCA first, then do the training)

modelFit <- train(x = trainPC, y = training$type,method="glm",preProcess="pca")
confusionMatrix(testing$type,predict(modelFit,testPC))
## Confusion Matrix and Statistics
## 
##           Reference
## Prediction nonspam spam
##    nonspam     697    0
##    spam        453    0
##                                           
##                Accuracy : 0.6061          
##                  95% CI : (0.5772, 0.6345)
##     No Information Rate : 1               
##     P-Value [Acc > NIR] : 1               
##                                           
##                   Kappa : 0               
##  Mcnemar's Test P-Value : <2e-16          
##                                           
##             Sensitivity : 0.6061          
##             Specificity :     NA          
##          Pos Pred Value :     NA          
##          Neg Pred Value :     NA          
##              Prevalence : 1.0000          
##          Detection Rate : 0.6061          
##    Detection Prevalence : 0.6061          
##       Balanced Accuracy :     NA          
##                                           
##        'Positive' Class : nonspam         
##

Predicting with Regression

Use the fainthful eruption data in caret

library(caret)
data(faithful)
set.seed(333)
inTrain<-createDataPartition(y=faithful$waiting,p=0.5,list=FALSE)
trainFaith<-faithful[inTrain,]
testFaith<-faithful[-inTrain,]
head(trainFaith)
##   eruptions waiting
## 1     3.600      79
## 3     3.333      74
## 5     4.533      85
## 6     2.883      55
## 7     4.700      88
## 8     3.600      85

Plot eruption duration vs. waiting time.

You can see that there’s a roughly linear relationship between the two variables.

plot(trainFaith$waiting,trainFaith$eruptions,pch=19,col="blue",xlab="waiting",ylab="eruption duration")

Fit a linear regression model

lm1<-lm(eruptions~waiting,data=trainFaith)
summary(lm1)
## 
## Call:
## lm(formula = eruptions ~ waiting, data = trainFaith)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.26990 -0.34789  0.03979  0.36589  1.05020 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.792739   0.227869  -7.867 1.04e-12 ***
## waiting      0.073901   0.003148  23.474  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.495 on 135 degrees of freedom
## Multiple R-squared:  0.8032, Adjusted R-squared:  0.8018 
## F-statistic:   551 on 1 and 135 DF,  p-value: < 2.2e-16

Plot the model fit

plot(trainFaith$waiting,trainFaith$eruptions,pch=19,col="blue",xlab="waiting",ylab="eruption duration")
lines(trainFaith$waiting,lm1$fitted,lwd=3)

Predicting a new value with the linear regression model

When waiting time = 80

newdata<-data.frame(waiting=80)
predict(lm1,newdata)
##        1 
## 4.119307

Plot predictions - training vs testing set

par(mfrow=c(1,2))
# training
plot(trainFaith$waiting,trainFaith$eruptions,pch=19,col="blue",main="training",xlab="waiting",ylab="eruption duration")
lines(trainFaith$waiting,predict(lm1),lwd=3)
# testing
plot(testFaith$waiting,testFaith$eruptions,pch=19,col="blue",main="testing",xlab="waiting",ylab="eruption duration")
lines(testFaith$waiting,predict(lm1,newdata=testFaith),lwd=3)

Get training & testing errors

# RMSE on training
sqrt(sum((lm1$fitted-trainFaith$eruptions)^2))
## [1] 5.75186
# RMSE on testing
sqrt(sum((predict(lm1,newdata=testFaith)-testFaith$eruptions)^2))
## [1] 5.838559

Prediction intervals

pred1<-predict(lm1,newdata=testFaith,interval="prediction")
ord<-order(testFaith$waiting)
plot(testFaith$waiting,testFaith$eruptions,pch=19,col="blue")
matlines(testFaith$waiting[ord],pred1[ord,],type="l",col=c(1,2,2),lty=c(1,1,1),lwd=3)

Same process with caret

modFit<-train(eruptions~waiting,data=trainFaith,method="lm")
summary(modFit$finalModel)
## 
## Call:
## lm(formula = .outcome ~ ., data = dat)
## 
## Residuals:
##      Min       1Q   Median       3Q      Max 
## -1.26990 -0.34789  0.03979  0.36589  1.05020 
## 
## Coefficients:
##              Estimate Std. Error t value Pr(>|t|)    
## (Intercept) -1.792739   0.227869  -7.867 1.04e-12 ***
## waiting      0.073901   0.003148  23.474  < 2e-16 ***
## ---
## Signif. codes:  0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
## 
## Residual standard error: 0.495 on 135 degrees of freedom
## Multiple R-squared:  0.8032, Adjusted R-squared:  0.8018 
## F-statistic:   551 on 1 and 135 DF,  p-value: < 2.2e-16

Predicting with regression, multiple covariates

Use the wages dataset in ISLR package

library(ISLR)
library(ggplot2)
library(caret)
data(Wage)
Wage<-subset(Wage,select=-c(logwage))
summary(Wage)
##       year           age                     maritl           race     
##  Min.   :2003   Min.   :18.00   1. Never Married: 648   1. White:2480  
##  1st Qu.:2004   1st Qu.:33.75   2. Married      :2074   2. Black: 293  
##  Median :2006   Median :42.00   3. Widowed      :  19   3. Asian: 190  
##  Mean   :2006   Mean   :42.41   4. Divorced     : 204   4. Other:  37  
##  3rd Qu.:2008   3rd Qu.:51.00   5. Separated    :  55                  
##  Max.   :2009   Max.   :80.00                                          
##                                                                        
##               education                     region    
##  1. < HS Grad      :268   2. Middle Atlantic   :3000  
##  2. HS Grad        :971   1. New England       :   0  
##  3. Some College   :650   3. East North Central:   0  
##  4. College Grad   :685   4. West North Central:   0  
##  5. Advanced Degree:426   5. South Atlantic    :   0  
##                           6. East South Central:   0  
##                           (Other)              :   0  
##            jobclass               health      health_ins  
##  1. Industrial :1544   1. <=Good     : 858   1. Yes:2083  
##  2. Information:1456   2. >=Very Good:2142   2. No : 917  
##                                                           
##                                                           
##                                                           
##                                                           
##                                                           
##       wage       
##  Min.   : 20.09  
##  1st Qu.: 85.38  
##  Median :104.92  
##  Mean   :111.70  
##  3rd Qu.:128.68  
##  Max.   :318.34  
## 
inTrain<-createDataPartition(y=Wage$wage,p=0.7,list=FALSE)
training<-Wage[inTrain,]
testing<-Wage[-inTrain,]
dim(training)
## [1] 2102   10
dim(testing)
## [1] 898  10

Feature plot on the wages dataset

featurePlot(x=training[,c("age","education","jobclass")],y=training$wage,plot="pairs")

Plot age vs. wage

qplot(age,wage,data=training)

Plot age vs wage, color by jobclass

We can see that the outliners are mostly for people in informational jobclass

qplot(age,wage,color=jobclass,data=training)

Plot age vs. wage, color by education

You can see that the outliners are mostly advance degree education

qplot(age,wage,color=education,data=training)

Fit a linear model

modFit<-train(wage~age+jobclass+education,method="lm",data=training)
finMod<-modFit$finalModel
print(modFit)
## Linear Regression 
## 
## 2102 samples
##    3 predictor
## 
## No pre-processing
## Resampling: Bootstrapped (25 reps) 
## Summary of sample sizes: 2102, 2102, 2102, 2102, 2102, 2102, ... 
## Resampling results:
## 
##   RMSE      Rsquared  MAE     
##   35.79066  0.248127  24.68782
## 
## Tuning parameter 'intercept' was held constant at a value of TRUE
plot(finMod,1,pch=19,cex=0.5,col="#00000010")

Color by variables not used in the model

qplot(finMod$fitted,finMod$residuals,color=race,data=training)

Plot by index (i.e. which rows in the dataframe they are at)

plot(finMod$residuals,pch=19)

Predicted vs. truth in test set

pred<-predict(modFit,testing)
qplot(wage,pred,color=year,data=testing)

If you want to use all covariates (variables)

modFitAll<-train(wage~.,data=training,method="lm")
## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading

## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading
pred<-predict(modFitAll,newdata=testing)
## Warning in predict.lm(modelFit, newdata): prediction from a rank-deficient
## fit may be misleading
qplot(wage,pred,data=testing)